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Finding the Fourth Proportional to 294,264.56, 441,400.92 and 83,902.48

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Solution

The fourth proportional to 294,264.56, 441,400.92 and 83,902.48 is: 125,854.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,264.56 : 441,400.92 = 83,902.48 : x
  2. Step 2: Convert to fraction form
    294,264.56/441,400.92 = 83,902.48/x
  3. Step 3: Cross multiply
    294,264.56x = 441,400.92 × 83,902.48
  4. Step 4: Simplify right side
    294,264.56x = 37,034,631,862.28
  5. Step 5: Solve for x
    x = 37,034,631,862.28/294,264.56
  6. Step 6: Final answer
    x = 125,854.88

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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.