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Finding the Fourth Proportional to 396,241.29, 546,862.35 and 260,387.58

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Solution

The fourth proportional to 396,241.29, 546,862.35 and 260,387.58 is: 359,367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,241.29 : 546,862.35 = 260,387.58 : x
  2. Step 2: Convert to fraction form
    396,241.29/546,862.35 = 260,387.58/x
  3. Step 3: Cross multiply
    396,241.29x = 546,862.35 × 260,387.58
  4. Step 4: Simplify right side
    396,241.29x = 142,396,163,909.61
  5. Step 5: Solve for x
    x = 142,396,163,909.61/396,241.29
  6. Step 6: Final answer
    x = 359,367.30

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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.