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Finding the Fourth Proportional to 258,464, 387,691.32 and 140,883.68

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Solution

The fourth proportional to 258,464, 387,691.32 and 140,883.68 is: 211,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,464 : 387,691.32 = 140,883.68 : x
  2. Step 2: Convert to fraction form
    258,464/387,691.32 = 140,883.68/x
  3. Step 3: Cross multiply
    258,464x = 387,691.32 × 140,883.68
  4. Step 4: Simplify right side
    258,464x = 54,619,379,865.66
  5. Step 5: Solve for x
    x = 54,619,379,865.66/258,464
  6. Step 6: Final answer
    x = 211,322.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.