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Finding the Fourth Proportional to 310,932.13, 466,479.65 and 97,691.43

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Solution

The fourth proportional to 310,932.13, 466,479.65 and 97,691.43 is: 146,562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,932.13 : 466,479.65 = 97,691.43 : x
  2. Step 2: Convert to fraction form
    310,932.13/466,479.65 = 97,691.43/x
  3. Step 3: Cross multiply
    310,932.13x = 466,479.65 × 97,691.43
  4. Step 4: Simplify right side
    310,932.13x = 45,571,064,074.40
  5. Step 5: Solve for x
    x = 45,571,064,074.40/310,932.13
  6. Step 6: Final answer
    x = 146,562.74

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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.