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Finding the Fourth Proportional to 382,023.32, 573,149.57 and 154,201.71

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Solution

The fourth proportional to 382,023.32, 573,149.57 and 154,201.71 is: 231,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,023.32 : 573,149.57 = 154,201.71 : x
  2. Step 2: Convert to fraction form
    382,023.32/573,149.57 = 154,201.71/x
  3. Step 3: Cross multiply
    382,023.32x = 573,149.57 × 154,201.71
  4. Step 4: Simplify right side
    382,023.32x = 88,380,643,779.76
  5. Step 5: Solve for x
    x = 88,380,643,779.76/382,023.32
  6. Step 6: Final answer
    x = 231,348.82

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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.