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Finding the Fourth Proportional to 506,200.38, 698,732.45 and 291,426.05

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Solution

The fourth proportional to 506,200.38, 698,732.45 and 291,426.05 is: 402,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,200.38 : 698,732.45 = 291,426.05 : x
  2. Step 2: Convert to fraction form
    506,200.38/698,732.45 = 291,426.05/x
  3. Step 3: Cross multiply
    506,200.38x = 698,732.45 × 291,426.05
  4. Step 4: Simplify right side
    506,200.38x = 203,628,832,959.53
  5. Step 5: Solve for x
    x = 203,628,832,959.53/506,200.38
  6. Step 6: Final answer
    x = 402,269.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.