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Finding the Fourth Proportional to 322,470.42, 483,763.80 and 132,827.28

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Solution

The fourth proportional to 322,470.42, 483,763.80 and 132,827.28 is: 199,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,470.42 : 483,763.80 = 132,827.28 : x
  2. Step 2: Convert to fraction form
    322,470.42/483,763.80 = 132,827.28/x
  3. Step 3: Cross multiply
    322,470.42x = 483,763.80 × 132,827.28
  4. Step 4: Simplify right side
    322,470.42x = 64,257,029,716.46
  5. Step 5: Solve for x
    x = 64,257,029,716.46/322,470.42
  6. Step 6: Final answer
    x = 199,264.88

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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.