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Finding the Fourth Proportional to 381,470.44, 526,524.80 and 220,419.04

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Solution

The fourth proportional to 381,470.44, 526,524.80 and 220,419.04 is: 304,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,470.44 : 526,524.80 = 220,419.04 : x
  2. Step 2: Convert to fraction form
    381,470.44/526,524.80 = 220,419.04/x
  3. Step 3: Cross multiply
    381,470.44x = 526,524.80 × 220,419.04
  4. Step 4: Simplify right side
    381,470.44x = 116,056,090,952.19
  5. Step 5: Solve for x
    x = 116,056,090,952.19/381,470.44
  6. Step 6: Final answer
    x = 304,233.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.