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Finding the Fourth Proportional to 305,177.76, 421,150.36 and 169,217.44

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Solution

The fourth proportional to 305,177.76, 421,150.36 and 169,217.44 is: 233,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,177.76 : 421,150.36 = 169,217.44 : x
  2. Step 2: Convert to fraction form
    305,177.76/421,150.36 = 169,217.44/x
  3. Step 3: Cross multiply
    305,177.76x = 421,150.36 × 169,217.44
  4. Step 4: Simplify right side
    305,177.76x = 71,265,985,774.28
  5. Step 5: Solve for x
    x = 71,265,985,774.28/305,177.76
  6. Step 6: Final answer
    x = 233,522.87

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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.