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Finding the Fourth Proportional to 534,593.64, 801,328.92 and 197,419.38

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Solution

The fourth proportional to 534,593.64, 801,328.92 and 197,419.38 is: 295,921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,593.64 : 801,328.92 = 197,419.38 : x
  2. Step 2: Convert to fraction form
    534,593.64/801,328.92 = 197,419.38/x
  3. Step 3: Cross multiply
    534,593.64x = 801,328.92 × 197,419.38
  4. Step 4: Simplify right side
    534,593.64x = 158,197,858,562.47
  5. Step 5: Solve for x
    x = 158,197,858,562.47/534,593.64
  6. Step 6: Final answer
    x = 295,921.70

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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.