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Finding the Fourth Proportional to 468,358.86, 702,540.10 and 113,372.30

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Solution

The fourth proportional to 468,358.86, 702,540.10 and 113,372.30 is: 170,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,358.86 : 702,540.10 = 113,372.30 : x
  2. Step 2: Convert to fraction form
    468,358.86/702,540.10 = 113,372.30/x
  3. Step 3: Cross multiply
    468,358.86x = 702,540.10 × 113,372.30
  4. Step 4: Simplify right side
    468,358.86x = 79,648,586,979.23
  5. Step 5: Solve for x
    x = 79,648,586,979.23/468,358.86
  6. Step 6: Final answer
    x = 170,058.89

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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.