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Finding the Fourth Proportional to 527,304.96, 727,677.21 and 285,582

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Solution

The fourth proportional to 527,304.96, 727,677.21 and 285,582 is: 394,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,304.96 : 727,677.21 = 285,582 : x
  2. Step 2: Convert to fraction form
    527,304.96/727,677.21 = 285,582/x
  3. Step 3: Cross multiply
    527,304.96x = 727,677.21 × 285,582
  4. Step 4: Simplify right side
    527,304.96x = 207,811,512,986.22
  5. Step 5: Solve for x
    x = 207,811,512,986.22/527,304.96
  6. Step 6: Final answer
    x = 394,101.19

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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.