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Finding the Fourth Proportional to 382,094.52, 527,156.02 and 229,182.21

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Solution

The fourth proportional to 382,094.52, 527,156.02 and 229,182.21 is: 316,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,094.52 : 527,156.02 = 229,182.21 : x
  2. Step 2: Convert to fraction form
    382,094.52/527,156.02 = 229,182.21/x
  3. Step 3: Cross multiply
    382,094.52x = 527,156.02 × 229,182.21
  4. Step 4: Simplify right side
    382,094.52x = 120,814,780,675.73
  5. Step 5: Solve for x
    x = 120,814,780,675.73/382,094.52
  6. Step 6: Final answer
    x = 316,190.83

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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.