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Finding the Fourth Proportional to 310,932.25, 466,479.84 and 97,691.55

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Solution

The fourth proportional to 310,932.25, 466,479.84 and 97,691.55 is: 146,562.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,932.25 : 466,479.84 = 97,691.55 : x
  2. Step 2: Convert to fraction form
    310,932.25/466,479.84 = 97,691.55/x
  3. Step 3: Cross multiply
    310,932.25x = 466,479.84 × 97,691.55
  4. Step 4: Simplify right side
    310,932.25x = 45,571,138,613.35
  5. Step 5: Solve for x
    x = 45,571,138,613.35/310,932.25
  6. Step 6: Final answer
    x = 146,562.92

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1.5x scale

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.