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Finding the Fourth Proportional to 305,314.80, 421,319.52 and 169,336.70

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Solution

The fourth proportional to 305,314.80, 421,319.52 and 169,336.70 is: 233,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,314.80 : 421,319.52 = 169,336.70 : x
  2. Step 2: Convert to fraction form
    305,314.80/421,319.52 = 169,336.70/x
  3. Step 3: Cross multiply
    305,314.80x = 421,319.52 × 169,336.70
  4. Step 4: Simplify right side
    305,314.80x = 71,344,857,162.38
  5. Step 5: Solve for x
    x = 71,344,857,162.38/305,314.80
  6. Step 6: Final answer
    x = 233,676.38

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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.