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Finding the Fourth Proportional to 322,809.78, 484,292.40 and 101,193.78

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Solution

The fourth proportional to 322,809.78, 484,292.40 and 101,193.78 is: 151,815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,809.78 : 484,292.40 = 101,193.78 : x
  2. Step 2: Convert to fraction form
    322,809.78/484,292.40 = 101,193.78/x
  3. Step 3: Cross multiply
    322,809.78x = 484,292.40 × 101,193.78
  4. Step 4: Simplify right side
    322,809.78x = 49,007,378,581.27
  5. Step 5: Solve for x
    x = 49,007,378,581.27/322,809.78
  6. Step 6: Final answer
    x = 151,815.04

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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.