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Finding the Fourth Proportional to 264,642.93, 396,972.17 and 64,963.31

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Solution

The fourth proportional to 264,642.93, 396,972.17 and 64,963.31 is: 97,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,642.93 : 396,972.17 = 64,963.31 : x
  2. Step 2: Convert to fraction form
    264,642.93/396,972.17 = 64,963.31/x
  3. Step 3: Cross multiply
    264,642.93x = 396,972.17 × 64,963.31
  4. Step 4: Simplify right side
    264,642.93x = 25,788,625,556.92
  5. Step 5: Solve for x
    x = 25,788,625,556.92/264,642.93
  6. Step 6: Final answer
    x = 97,446.87

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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.