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Finding the Fourth Proportional to 382,073.76, 527,222.52 and 238,849.56

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Solution

The fourth proportional to 382,073.76, 527,222.52 and 238,849.56 is: 329,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,073.76 : 527,222.52 = 238,849.56 : x
  2. Step 2: Convert to fraction form
    382,073.76/527,222.52 = 238,849.56/x
  3. Step 3: Cross multiply
    382,073.76x = 527,222.52 × 238,849.56
  4. Step 4: Simplify right side
    382,073.76x = 125,926,866,924.09
  5. Step 5: Solve for x
    x = 125,926,866,924.09/382,073.76
  6. Step 6: Final answer
    x = 329,587.84

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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.