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Finding the Fourth Proportional to 382,076.94, 527,102.61 and 238,587.87

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Solution

The fourth proportional to 382,076.94, 527,102.61 and 238,587.87 is: 329,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,076.94 : 527,102.61 = 238,587.87 : x
  2. Step 2: Convert to fraction form
    382,076.94/527,102.61 = 238,587.87/x
  3. Step 3: Cross multiply
    382,076.94x = 527,102.61 × 238,587.87
  4. Step 4: Simplify right side
    382,076.94x = 125,760,288,991.34
  5. Step 5: Solve for x
    x = 125,760,288,991.34/382,076.94
  6. Step 6: Final answer
    x = 329,149.12

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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.