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Finding the Fourth Proportional to 503,454.06, 755,001.24 and 166,432.50

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Solution

The fourth proportional to 503,454.06, 755,001.24 and 166,432.50 is: 249,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,454.06 : 755,001.24 = 166,432.50 : x
  2. Step 2: Convert to fraction form
    503,454.06/755,001.24 = 166,432.50/x
  3. Step 3: Cross multiply
    503,454.06x = 755,001.24 × 166,432.50
  4. Step 4: Simplify right side
    503,454.06x = 125,656,743,876.30
  5. Step 5: Solve for x
    x = 125,656,743,876.30/503,454.06
  6. Step 6: Final answer
    x = 249,589.29

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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.