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Finding the Fourth Proportional to 513,815.40, 770,723.10 and 492,820.20

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Solution

The fourth proportional to 513,815.40, 770,723.10 and 492,820.20 is: 739,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,815.40 : 770,723.10 = 492,820.20 : x
  2. Step 2: Convert to fraction form
    513,815.40/770,723.10 = 492,820.20/x
  3. Step 3: Cross multiply
    513,815.40x = 770,723.10 × 492,820.20
  4. Step 4: Simplify right side
    513,815.40x = 379,827,912,286.62
  5. Step 5: Solve for x
    x = 379,827,912,286.62/513,815.40
  6. Step 6: Final answer
    x = 739,230.30

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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.