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Finding the Fourth Proportional to 482,864.70, 724,167.45 and 202,323.90

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Solution

The fourth proportional to 482,864.70, 724,167.45 and 202,323.90 is: 303,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,864.70 : 724,167.45 = 202,323.90 : x
  2. Step 2: Convert to fraction form
    482,864.70/724,167.45 = 202,323.90/x
  3. Step 3: Cross multiply
    482,864.70x = 724,167.45 × 202,323.90
  4. Step 4: Simplify right side
    482,864.70x = 146,516,382,737.06
  5. Step 5: Solve for x
    x = 146,516,382,737.06/482,864.70
  6. Step 6: Final answer
    x = 303,431.55

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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.