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Finding the Fourth Proportional to 311,332.36, 466,785.24 and 111,648.46

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Solution

The fourth proportional to 311,332.36, 466,785.24 and 111,648.46 is: 167,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,332.36 : 466,785.24 = 111,648.46 : x
  2. Step 2: Convert to fraction form
    311,332.36/466,785.24 = 111,648.46/x
  3. Step 3: Cross multiply
    311,332.36x = 466,785.24 × 111,648.46
  4. Step 4: Simplify right side
    311,332.36x = 52,115,853,196.73
  5. Step 5: Solve for x
    x = 52,115,853,196.73/311,332.36
  6. Step 6: Final answer
    x = 167,396.20

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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.