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Finding the Fourth Proportional to 366,916.73, 506,367.17 and 205,781.30

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Solution

The fourth proportional to 366,916.73, 506,367.17 and 205,781.30 is: 283,990.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,916.73 : 506,367.17 = 205,781.30 : x
  2. Step 2: Convert to fraction form
    366,916.73/506,367.17 = 205,781.30/x
  3. Step 3: Cross multiply
    366,916.73x = 506,367.17 × 205,781.30
  4. Step 4: Simplify right side
    366,916.73x = 104,200,896,686.13
  5. Step 5: Solve for x
    x = 104,200,896,686.13/366,916.73
  6. Step 6: Final answer
    x = 283,990.59

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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.