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Finding the Fourth Proportional to 397,053.55, 595,594.32 and 127,189.90

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Solution

The fourth proportional to 397,053.55, 595,594.32 and 127,189.90 is: 190,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,053.55 : 595,594.32 = 127,189.90 : x
  2. Step 2: Convert to fraction form
    397,053.55/595,594.32 = 127,189.90/x
  3. Step 3: Cross multiply
    397,053.55x = 595,594.32 × 127,189.90
  4. Step 4: Simplify right side
    397,053.55x = 75,753,582,001.37
  5. Step 5: Solve for x
    x = 75,753,582,001.37/397,053.55
  6. Step 6: Final answer
    x = 190,789.33

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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.