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Finding the Fourth Proportional to 431,752.55, 647,628.82 and 116,201.25

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Solution

The fourth proportional to 431,752.55, 647,628.82 and 116,201.25 is: 174,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,752.55 : 647,628.82 = 116,201.25 : x
  2. Step 2: Convert to fraction form
    431,752.55/647,628.82 = 116,201.25/x
  3. Step 3: Cross multiply
    431,752.55x = 647,628.82 × 116,201.25
  4. Step 4: Simplify right side
    431,752.55x = 75,255,278,129.52
  5. Step 5: Solve for x
    x = 75,255,278,129.52/431,752.55
  6. Step 6: Final answer
    x = 174,301.88

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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.