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Finding the Fourth Proportional to 381,854.80, 526,717.56 and 234,615.16

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Solution

The fourth proportional to 381,854.80, 526,717.56 and 234,615.16 is: 323,620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,854.80 : 526,717.56 = 234,615.16 : x
  2. Step 2: Convert to fraction form
    381,854.80/526,717.56 = 234,615.16/x
  3. Step 3: Cross multiply
    381,854.80x = 526,717.56 × 234,615.16
  4. Step 4: Simplify right side
    381,854.80x = 123,575,924,614.21
  5. Step 5: Solve for x
    x = 123,575,924,614.21/381,854.80
  6. Step 6: Final answer
    x = 323,620.19

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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.