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Finding the Fourth Proportional to 412,248.45, 617,322.87 and 271,580.61

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Solution

The fourth proportional to 412,248.45, 617,322.87 and 271,580.61 is: 406,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,248.45 : 617,322.87 = 271,580.61 : x
  2. Step 2: Convert to fraction form
    412,248.45/617,322.87 = 271,580.61/x
  3. Step 3: Cross multiply
    412,248.45x = 617,322.87 × 271,580.61
  4. Step 4: Simplify right side
    412,248.45x = 167,652,921,601.55
  5. Step 5: Solve for x
    x = 167,652,921,601.55/412,248.45
  6. Step 6: Final answer
    x = 406,679.33

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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.