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Finding the Fourth Proportional to 415,965.88, 574,031.22 and 234,677.80

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Solution

The fourth proportional to 415,965.88, 574,031.22 and 234,677.80 is: 323,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,965.88 : 574,031.22 = 234,677.80 : x
  2. Step 2: Convert to fraction form
    415,965.88/574,031.22 = 234,677.80/x
  3. Step 3: Cross multiply
    415,965.88x = 574,031.22 × 234,677.80
  4. Step 4: Simplify right side
    415,965.88x = 134,712,383,840.92
  5. Step 5: Solve for x
    x = 134,712,383,840.92/415,965.88
  6. Step 6: Final answer
    x = 323,854.41

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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.