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Finding the Fourth Proportional to 412,892.68, 619,912.50 and 213,360.52

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Solution

The fourth proportional to 412,892.68, 619,912.50 and 213,360.52 is: 320,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,892.68 : 619,912.50 = 213,360.52 : x
  2. Step 2: Convert to fraction form
    412,892.68/619,912.50 = 213,360.52/x
  3. Step 3: Cross multiply
    412,892.68x = 619,912.50 × 213,360.52
  4. Step 4: Simplify right side
    412,892.68x = 132,264,853,354.50
  5. Step 5: Solve for x
    x = 132,264,853,354.50/412,892.68
  6. Step 6: Final answer
    x = 320,337.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.