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Finding the Fourth Proportional to 307,020.38, 423,671.72 and 169,194.83

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Solution

The fourth proportional to 307,020.38, 423,671.72 and 169,194.83 is: 233,479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,020.38 : 423,671.72 = 169,194.83 : x
  2. Step 2: Convert to fraction form
    307,020.38/423,671.72 = 169,194.83/x
  3. Step 3: Cross multiply
    307,020.38x = 423,671.72 × 169,194.83
  4. Step 4: Simplify right side
    307,020.38x = 71,683,061,676.87
  5. Step 5: Solve for x
    x = 71,683,061,676.87/307,020.38
  6. Step 6: Final answer
    x = 233,479.82

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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.