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Finding the Fourth Proportional to 564,727.56, 847,195.29 and 185,669.70

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Solution

The fourth proportional to 564,727.56, 847,195.29 and 185,669.70 is: 278,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,727.56 : 847,195.29 = 185,669.70 : x
  2. Step 2: Convert to fraction form
    564,727.56/847,195.29 = 185,669.70/x
  3. Step 3: Cross multiply
    564,727.56x = 847,195.29 × 185,669.70
  4. Step 4: Simplify right side
    564,727.56x = 157,298,495,335.71
  5. Step 5: Solve for x
    x = 157,298,495,335.71/564,727.56
  6. Step 6: Final answer
    x = 278,538.73

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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.