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Finding the Fourth Proportional to 310,433.55, 465,260.95 and 132,731.97

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Solution

The fourth proportional to 310,433.55, 465,260.95 and 132,731.97 is: 198,931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,433.55 : 465,260.95 = 132,731.97 : x
  2. Step 2: Convert to fraction form
    310,433.55/465,260.95 = 132,731.97/x
  3. Step 3: Cross multiply
    310,433.55x = 465,260.95 × 132,731.97
  4. Step 4: Simplify right side
    310,433.55x = 61,755,002,457.57
  5. Step 5: Solve for x
    x = 61,755,002,457.57/310,433.55
  6. Step 6: Final answer
    x = 198,931.47

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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.