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Finding the Fourth Proportional to 527,072.90, 727,357.16 and 285,354.95

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Solution

The fourth proportional to 527,072.90, 727,357.16 and 285,354.95 is: 393,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,072.90 : 727,357.16 = 285,354.95 : x
  2. Step 2: Convert to fraction form
    527,072.90/727,357.16 = 285,354.95/x
  3. Step 3: Cross multiply
    527,072.90x = 727,357.16 × 285,354.95
  4. Step 4: Simplify right side
    527,072.90x = 207,554,963,100.54
  5. Step 5: Solve for x
    x = 207,554,963,100.54/527,072.90
  6. Step 6: Final answer
    x = 393,787.97

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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.