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Finding the Fourth Proportional to 417,326.31, 625,982.49 and 133,012.98

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Solution

The fourth proportional to 417,326.31, 625,982.49 and 133,012.98 is: 199,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,326.31 : 625,982.49 = 133,012.98 : x
  2. Step 2: Convert to fraction form
    417,326.31/625,982.49 = 133,012.98/x
  3. Step 3: Cross multiply
    417,326.31x = 625,982.49 × 133,012.98
  4. Step 4: Simplify right side
    417,326.31x = 83,263,796,422.72
  5. Step 5: Solve for x
    x = 83,263,796,422.72/417,326.31
  6. Step 6: Final answer
    x = 199,517.25

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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.