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Finding the Fourth Proportional to 564,885.60, 847,471.82 and 261,498.48

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Solution

The fourth proportional to 564,885.60, 847,471.82 and 261,498.48 is: 392,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,885.60 : 847,471.82 = 261,498.48 : x
  2. Step 2: Convert to fraction form
    564,885.60/847,471.82 = 261,498.48/x
  3. Step 3: Cross multiply
    564,885.60x = 847,471.82 × 261,498.48
  4. Step 4: Simplify right side
    564,885.60x = 221,612,592,772.83
  5. Step 5: Solve for x
    x = 221,612,592,772.83/564,885.60
  6. Step 6: Final answer
    x = 392,314.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.