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Finding the Fourth Proportional to 310,434.06, 465,261.71 and 132,732.48

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Solution

The fourth proportional to 310,434.06, 465,261.71 and 132,732.48 is: 198,932.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,434.06 : 465,261.71 = 132,732.48 : x
  2. Step 2: Convert to fraction form
    310,434.06/465,261.71 = 132,732.48/x
  3. Step 3: Cross multiply
    310,434.06x = 465,261.71 × 132,732.48
  4. Step 4: Simplify right side
    310,434.06x = 61,755,337,627.37
  5. Step 5: Solve for x
    x = 61,755,337,627.37/310,434.06
  6. Step 6: Final answer
    x = 198,932.23

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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.