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Finding the Fourth Proportional to 322,932.28, 484,521.42 and 145,398.46

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Solution

The fourth proportional to 322,932.28, 484,521.42 and 145,398.46 is: 218,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,932.28 : 484,521.42 = 145,398.46 : x
  2. Step 2: Convert to fraction form
    322,932.28/484,521.42 = 145,398.46/x
  3. Step 3: Cross multiply
    322,932.28x = 484,521.42 × 145,398.46
  4. Step 4: Simplify right side
    322,932.28x = 70,448,668,305.01
  5. Step 5: Solve for x
    x = 70,448,668,305.01/322,932.28
  6. Step 6: Final answer
    x = 218,153.07

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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.