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Finding the Fourth Proportional to 564,706.49, 847,169.89 and 165,353.81

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Solution

The fourth proportional to 564,706.49, 847,169.89 and 165,353.81 is: 248,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,706.49 : 847,169.89 = 165,353.81 : x
  2. Step 2: Convert to fraction form
    564,706.49/847,169.89 = 165,353.81/x
  3. Step 3: Cross multiply
    564,706.49x = 847,169.89 × 165,353.81
  4. Step 4: Simplify right side
    564,706.49x = 140,082,764,379.55
  5. Step 5: Solve for x
    x = 140,082,764,379.55/564,706.49
  6. Step 6: Final answer
    x = 248,062.96

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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.