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Finding the Fourth Proportional to 527,009.34, 727,272.05 and 285,291.84

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Solution

The fourth proportional to 527,009.34, 727,272.05 and 285,291.84 is: 393,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,009.34 : 727,272.05 = 285,291.84 : x
  2. Step 2: Convert to fraction form
    527,009.34/727,272.05 = 285,291.84/x
  3. Step 3: Cross multiply
    527,009.34x = 727,272.05 × 285,291.84
  4. Step 4: Simplify right side
    527,009.34x = 207,484,781,716.79
  5. Step 5: Solve for x
    x = 207,484,781,716.79/527,009.34
  6. Step 6: Final answer
    x = 393,702.29

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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.