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Finding the Fourth Proportional to 264,949.32, 397,458.24 and 96,443.88

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Solution

The fourth proportional to 264,949.32, 397,458.24 and 96,443.88 is: 144,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,949.32 : 397,458.24 = 96,443.88 : x
  2. Step 2: Convert to fraction form
    264,949.32/397,458.24 = 96,443.88/x
  3. Step 3: Cross multiply
    264,949.32x = 397,458.24 × 96,443.88
  4. Step 4: Simplify right side
    264,949.32x = 38,332,414,803.57
  5. Step 5: Solve for x
    x = 38,332,414,803.57/264,949.32
  6. Step 6: Final answer
    x = 144,678.29

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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.