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Finding the Fourth Proportional to 312,481.06, 431,223.72 and 169,241.11

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Solution

The fourth proportional to 312,481.06, 431,223.72 and 169,241.11 is: 233,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,481.06 : 431,223.72 = 169,241.11 : x
  2. Step 2: Convert to fraction form
    312,481.06/431,223.72 = 169,241.11/x
  3. Step 3: Cross multiply
    312,481.06x = 431,223.72 × 169,241.11
  4. Step 4: Simplify right side
    312,481.06x = 72,980,781,031.13
  5. Step 5: Solve for x
    x = 72,980,781,031.13/312,481.06
  6. Step 6: Final answer
    x = 233,552.65

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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.