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Finding the Fourth Proportional to 527,100.32, 727,398.87 and 285,383.06

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Solution

The fourth proportional to 527,100.32, 727,398.87 and 285,383.06 is: 393,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,100.32 : 727,398.87 = 285,383.06 : x
  2. Step 2: Convert to fraction form
    527,100.32/727,398.87 = 285,383.06/x
  3. Step 3: Cross multiply
    527,100.32x = 727,398.87 × 285,383.06
  4. Step 4: Simplify right side
    527,100.32x = 207,587,315,361.14
  5. Step 5: Solve for x
    x = 207,587,315,361.14/527,100.32
  6. Step 6: Final answer
    x = 393,828.85

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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.