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Finding the Fourth Proportional to 527,148.57, 727,465.47 and 285,431.28

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Solution

The fourth proportional to 527,148.57, 727,465.47 and 285,431.28 is: 393,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,148.57 : 727,465.47 = 285,431.28 : x
  2. Step 2: Convert to fraction form
    527,148.57/727,465.47 = 285,431.28/x
  3. Step 3: Cross multiply
    527,148.57x = 727,465.47 × 285,431.28
  4. Step 4: Simplify right side
    527,148.57x = 207,641,400,257.90
  5. Step 5: Solve for x
    x = 207,641,400,257.90/527,148.57
  6. Step 6: Final answer
    x = 393,895.41

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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.