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Finding the Fourth Proportional to 546,104.97, 753,648.30 and 304,387.47

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Solution

The fourth proportional to 546,104.97, 753,648.30 and 304,387.47 is: 420,067.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,104.97 : 753,648.30 = 304,387.47 : x
  2. Step 2: Convert to fraction form
    546,104.97/753,648.30 = 304,387.47/x
  3. Step 3: Cross multiply
    546,104.97x = 753,648.30 × 304,387.47
  4. Step 4: Simplify right side
    546,104.97x = 229,401,099,306.80
  5. Step 5: Solve for x
    x = 229,401,099,306.80/546,104.97
  6. Step 6: Final answer
    x = 420,067.77

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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.