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Finding the Fourth Proportional to 263,718.90, 396,114.30 and 232,829.82

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Solution

The fourth proportional to 263,718.90, 396,114.30 and 232,829.82 is: 349,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,718.90 : 396,114.30 = 232,829.82 : x
  2. Step 2: Convert to fraction form
    263,718.90/396,114.30 = 232,829.82/x
  3. Step 3: Cross multiply
    263,718.90x = 396,114.30 × 232,829.82
  4. Step 4: Simplify right side
    263,718.90x = 92,227,221,168.43
  5. Step 5: Solve for x
    x = 92,227,221,168.43/263,718.90
  6. Step 6: Final answer
    x = 349,717.90

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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.