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Finding the Fourth Proportional to 516,190.10, 774,285.15 and 409,901.90

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Solution

The fourth proportional to 516,190.10, 774,285.15 and 409,901.90 is: 614,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,190.10 : 774,285.15 = 409,901.90 : x
  2. Step 2: Convert to fraction form
    516,190.10/774,285.15 = 409,901.90/x
  3. Step 3: Cross multiply
    516,190.10x = 774,285.15 × 409,901.90
  4. Step 4: Simplify right side
    516,190.10x = 317,380,954,126.79
  5. Step 5: Solve for x
    x = 317,380,954,126.79/516,190.10
  6. Step 6: Final answer
    x = 614,852.85

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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.