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Finding the Fourth Proportional to 435,410.13, 653,122.11 and 165,542.38

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Solution

The fourth proportional to 435,410.13, 653,122.11 and 165,542.38 is: 248,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,410.13 : 653,122.11 = 165,542.38 : x
  2. Step 2: Convert to fraction form
    435,410.13/653,122.11 = 165,542.38/x
  3. Step 3: Cross multiply
    435,410.13x = 653,122.11 × 165,542.38
  4. Step 4: Simplify right side
    435,410.13x = 108,119,388,520.02
  5. Step 5: Solve for x
    x = 108,119,388,520.02/435,410.13
  6. Step 6: Final answer
    x = 248,316.20

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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.