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Finding the Fourth Proportional to 501,375.32, 751,982.39 and 146,306.15

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Solution

The fourth proportional to 501,375.32, 751,982.39 and 146,306.15 is: 219,435.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,375.32 : 751,982.39 = 146,306.15 : x
  2. Step 2: Convert to fraction form
    501,375.32/751,982.39 = 146,306.15/x
  3. Step 3: Cross multiply
    501,375.32x = 751,982.39 × 146,306.15
  4. Step 4: Simplify right side
    501,375.32x = 110,019,647,617.17
  5. Step 5: Solve for x
    x = 110,019,647,617.17/501,375.32
  6. Step 6: Final answer
    x = 219,435.71

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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.