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Finding the Fourth Proportional to 502,644.60, 754,039.80 and 165,627.90

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Solution

The fourth proportional to 502,644.60, 754,039.80 and 165,627.90 is: 248,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,644.60 : 754,039.80 = 165,627.90 : x
  2. Step 2: Convert to fraction form
    502,644.60/754,039.80 = 165,627.90/x
  3. Step 3: Cross multiply
    502,644.60x = 754,039.80 × 165,627.90
  4. Step 4: Simplify right side
    502,644.60x = 124,890,028,590.42
  5. Step 5: Solve for x
    x = 124,890,028,590.42/502,644.60
  6. Step 6: Final answer
    x = 248,465.87

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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.