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Finding the Fourth Proportional to 391,432.98, 540,168.31 and 230,298.40

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Solution

The fourth proportional to 391,432.98, 540,168.31 and 230,298.40 is: 317,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,432.98 : 540,168.31 = 230,298.40 : x
  2. Step 2: Convert to fraction form
    391,432.98/540,168.31 = 230,298.40/x
  3. Step 3: Cross multiply
    391,432.98x = 540,168.31 × 230,298.40
  4. Step 4: Simplify right side
    391,432.98x = 124,399,897,523.70
  5. Step 5: Solve for x
    x = 124,399,897,523.70/391,432.98
  6. Step 6: Final answer
    x = 317,806.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.