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Finding the Fourth Proportional to 527,304.46, 727,676.52 and 285,581.50

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Solution

The fourth proportional to 527,304.46, 727,676.52 and 285,581.50 is: 394,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,304.46 : 727,676.52 = 285,581.50 : x
  2. Step 2: Convert to fraction form
    527,304.46/727,676.52 = 285,581.50/x
  3. Step 3: Cross multiply
    527,304.46x = 727,676.52 × 285,581.50
  4. Step 4: Simplify right side
    527,304.46x = 207,810,952,096.38
  5. Step 5: Solve for x
    x = 207,810,952,096.38/527,304.46
  6. Step 6: Final answer
    x = 394,100.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.