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Finding the Fourth Proportional to 502,454.88, 753,686.64 and 147,474.72

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Solution

The fourth proportional to 502,454.88, 753,686.64 and 147,474.72 is: 221,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,454.88 : 753,686.64 = 147,474.72 : x
  2. Step 2: Convert to fraction form
    502,454.88/753,686.64 = 147,474.72/x
  3. Step 3: Cross multiply
    502,454.88x = 753,686.64 × 147,474.72
  4. Step 4: Simplify right side
    502,454.88x = 111,149,726,201.74
  5. Step 5: Solve for x
    x = 111,149,726,201.74/502,454.88
  6. Step 6: Final answer
    x = 221,213.35

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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.