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Finding the Fourth Proportional to 527,136.16, 727,444.82 and 285,413.74

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Solution

The fourth proportional to 527,136.16, 727,444.82 and 285,413.74 is: 393,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,136.16 : 727,444.82 = 285,413.74 : x
  2. Step 2: Convert to fraction form
    527,136.16/727,444.82 = 285,413.74/x
  3. Step 3: Cross multiply
    527,136.16x = 727,444.82 × 285,413.74
  4. Step 4: Simplify right side
    527,136.16x = 207,622,746,719.83
  5. Step 5: Solve for x
    x = 207,622,746,719.83/527,136.16
  6. Step 6: Final answer
    x = 393,869.29

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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.