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Finding the Fourth Proportional to 564,854.60, 847,101.92 and 185,687.57

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Solution

The fourth proportional to 564,854.60, 847,101.92 and 185,687.57 is: 278,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,854.60 : 847,101.92 = 185,687.57 : x
  2. Step 2: Convert to fraction form
    564,854.60/847,101.92 = 185,687.57/x
  3. Step 3: Cross multiply
    564,854.60x = 847,101.92 × 185,687.57
  4. Step 4: Simplify right side
    564,854.60x = 157,296,291,903.19
  5. Step 5: Solve for x
    x = 157,296,291,903.19/564,854.60
  6. Step 6: Final answer
    x = 278,472.18

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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.