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Finding the Fourth Proportional to 462,862.97, 638,493.68 and 269,248.90

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Solution

The fourth proportional to 462,862.97, 638,493.68 and 269,248.90 is: 371,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,862.97 : 638,493.68 = 269,248.90 : x
  2. Step 2: Convert to fraction form
    462,862.97/638,493.68 = 269,248.90/x
  3. Step 3: Cross multiply
    462,862.97x = 638,493.68 × 269,248.90
  4. Step 4: Simplify right side
    462,862.97x = 171,913,716,458.24
  5. Step 5: Solve for x
    x = 171,913,716,458.24/462,862.97
  6. Step 6: Final answer
    x = 371,413.85

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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.