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Finding the Fourth Proportional to 521,044.94, 781,567.34 and 147,067.94

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Solution

The fourth proportional to 521,044.94, 781,567.34 and 147,067.94 is: 220,601.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,044.94 : 781,567.34 = 147,067.94 : x
  2. Step 2: Convert to fraction form
    521,044.94/781,567.34 = 147,067.94/x
  3. Step 3: Cross multiply
    521,044.94x = 781,567.34 × 147,067.94
  4. Step 4: Simplify right side
    521,044.94x = 114,943,494,021.90
  5. Step 5: Solve for x
    x = 114,943,494,021.90/521,044.94
  6. Step 6: Final answer
    x = 220,601.88

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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.