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Finding the Fourth Proportional to 382,352.36, 527,695.46 and 231,451.88

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Solution

The fourth proportional to 382,352.36, 527,695.46 and 231,451.88 is: 319,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,352.36 : 527,695.46 = 231,451.88 : x
  2. Step 2: Convert to fraction form
    382,352.36/527,695.46 = 231,451.88/x
  3. Step 3: Cross multiply
    382,352.36x = 527,695.46 × 231,451.88
  4. Step 4: Simplify right side
    382,352.36x = 122,136,106,284.47
  5. Step 5: Solve for x
    x = 122,136,106,284.47/382,352.36
  6. Step 6: Final answer
    x = 319,433.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.