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Finding the Fourth Proportional to 564,595.43, 846,926.10 and 159,753.78

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Solution

The fourth proportional to 564,595.43, 846,926.10 and 159,753.78 is: 239,640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,595.43 : 846,926.10 = 159,753.78 : x
  2. Step 2: Convert to fraction form
    564,595.43/846,926.10 = 159,753.78/x
  3. Step 3: Cross multiply
    564,595.43x = 846,926.10 × 159,753.78
  4. Step 4: Simplify right side
    564,595.43x = 135,299,645,855.66
  5. Step 5: Solve for x
    x = 135,299,645,855.66/564,595.43
  6. Step 6: Final answer
    x = 239,640.00

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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.