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Finding the Fourth Proportional to 564,753.29, 846,942.01 and 227,706.89

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Solution

The fourth proportional to 564,753.29, 846,942.01 and 227,706.89 is: 341,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,753.29 : 846,942.01 = 227,706.89 : x
  2. Step 2: Convert to fraction form
    564,753.29/846,942.01 = 227,706.89/x
  3. Step 3: Cross multiply
    564,753.29x = 846,942.01 × 227,706.89
  4. Step 4: Simplify right side
    564,753.29x = 192,854,526,303.47
  5. Step 5: Solve for x
    x = 192,854,526,303.47/564,753.29
  6. Step 6: Final answer
    x = 341,484.56

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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.