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Finding the Fourth Proportional to 513,314.28, 769,694.22 and 363,847.32

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Solution

The fourth proportional to 513,314.28, 769,694.22 and 363,847.32 is: 545,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,314.28 : 769,694.22 = 363,847.32 : x
  2. Step 2: Convert to fraction form
    513,314.28/769,694.22 = 363,847.32/x
  3. Step 3: Cross multiply
    513,314.28x = 769,694.22 × 363,847.32
  4. Step 4: Simplify right side
    513,314.28x = 280,051,179,166.49
  5. Step 5: Solve for x
    x = 280,051,179,166.49/513,314.28
  6. Step 6: Final answer
    x = 545,574.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.