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Finding the Fourth Proportional to 502,938.55, 694,073.42 and 288,120.14

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Solution

The fourth proportional to 502,938.55, 694,073.42 and 288,120.14 is: 397,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,938.55 : 694,073.42 = 288,120.14 : x
  2. Step 2: Convert to fraction form
    502,938.55/694,073.42 = 288,120.14/x
  3. Step 3: Cross multiply
    502,938.55x = 694,073.42 × 288,120.14
  4. Step 4: Simplify right side
    502,938.55x = 199,976,529,205.50
  5. Step 5: Solve for x
    x = 199,976,529,205.50/502,938.55
  6. Step 6: Final answer
    x = 397,616.23

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