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Finding the Fourth Proportional to 381,890.88, 527,026.10 and 212,125.01

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Solution

The fourth proportional to 381,890.88, 527,026.10 and 212,125.01 is: 292,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,890.88 : 527,026.10 = 212,125.01 : x
  2. Step 2: Convert to fraction form
    381,890.88/527,026.10 = 212,125.01/x
  3. Step 3: Cross multiply
    381,890.88x = 527,026.10 × 212,125.01
  4. Step 4: Simplify right side
    381,890.88x = 111,795,416,732.76
  5. Step 5: Solve for x
    x = 111,795,416,732.76/381,890.88
  6. Step 6: Final answer
    x = 292,741.78

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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.