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Finding the Fourth Proportional to 310,436.49, 465,265.40 and 132,734.91

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Solution

The fourth proportional to 310,436.49, 465,265.40 and 132,734.91 is: 198,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,436.49 : 465,265.40 = 132,734.91 : x
  2. Step 2: Convert to fraction form
    310,436.49/465,265.40 = 132,734.91/x
  3. Step 3: Cross multiply
    310,436.49x = 465,265.40 × 132,734.91
  4. Step 4: Simplify right side
    310,436.49x = 61,756,960,331.44
  5. Step 5: Solve for x
    x = 61,756,960,331.44/310,436.49
  6. Step 6: Final answer
    x = 198,935.89

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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.