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Finding the Fourth Proportional to 520,097.70, 780,146.55 and 459,963.30

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Solution

The fourth proportional to 520,097.70, 780,146.55 and 459,963.30 is: 689,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,097.70 : 780,146.55 = 459,963.30 : x
  2. Step 2: Convert to fraction form
    520,097.70/780,146.55 = 459,963.30/x
  3. Step 3: Cross multiply
    520,097.70x = 780,146.55 × 459,963.30
  4. Step 4: Simplify right side
    520,097.70x = 358,838,781,621.62
  5. Step 5: Solve for x
    x = 358,838,781,621.62/520,097.70
  6. Step 6: Final answer
    x = 689,944.95

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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.