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Finding the Fourth Proportional to 322,591.72, 484,082.16 and 112,377.28

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Solution

The fourth proportional to 322,591.72, 484,082.16 and 112,377.28 is: 168,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,591.72 : 484,082.16 = 112,377.28 : x
  2. Step 2: Convert to fraction form
    322,591.72/484,082.16 = 112,377.28/x
  3. Step 3: Cross multiply
    322,591.72x = 484,082.16 × 112,377.28
  4. Step 4: Simplify right side
    322,591.72x = 54,399,836,437.32
  5. Step 5: Solve for x
    x = 54,399,836,437.32/322,591.72
  6. Step 6: Final answer
    x = 168,633.70

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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.