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Finding the Fourth Proportional to 571,475.78, 857,129.42 and 150,781.22

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Solution

The fourth proportional to 571,475.78, 857,129.42 and 150,781.22 is: 226,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,475.78 : 857,129.42 = 150,781.22 : x
  2. Step 2: Convert to fraction form
    571,475.78/857,129.42 = 150,781.22/x
  3. Step 3: Cross multiply
    571,475.78x = 857,129.42 × 150,781.22
  4. Step 4: Simplify right side
    571,475.78x = 129,239,019,645.49
  5. Step 5: Solve for x
    x = 129,239,019,645.49/571,475.78
  6. Step 6: Final answer
    x = 226,149.60

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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.