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Finding the Fourth Proportional to 382,001.70, 527,162.34 and 212,235.82

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Solution

The fourth proportional to 382,001.70, 527,162.34 and 212,235.82 is: 292,885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,001.70 : 527,162.34 = 212,235.82 : x
  2. Step 2: Convert to fraction form
    382,001.70/527,162.34 = 212,235.82/x
  3. Step 3: Cross multiply
    382,001.70x = 527,162.34 × 212,235.82
  4. Step 4: Simplify right side
    382,001.70x = 111,882,731,568.27
  5. Step 5: Solve for x
    x = 111,882,731,568.27/382,001.70
  6. Step 6: Final answer
    x = 292,885.43

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