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Finding the Fourth Proportional to 469,002.38, 703,331.24 and 161,167.05

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Solution

The fourth proportional to 469,002.38, 703,331.24 and 161,167.05 is: 241,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,002.38 : 703,331.24 = 161,167.05 : x
  2. Step 2: Convert to fraction form
    469,002.38/703,331.24 = 161,167.05/x
  3. Step 3: Cross multiply
    469,002.38x = 703,331.24 × 161,167.05
  4. Step 4: Simplify right side
    469,002.38x = 113,353,820,317.81
  5. Step 5: Solve for x
    x = 113,353,820,317.81/469,002.38
  6. Step 6: Final answer
    x = 241,691.36

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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.