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Finding the Fourth Proportional to 313,446.92, 432,557.62 and 170,209.35

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Solution

The fourth proportional to 313,446.92, 432,557.62 and 170,209.35 is: 234,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,446.92 : 432,557.62 = 170,209.35 : x
  2. Step 2: Convert to fraction form
    313,446.92/432,557.62 = 170,209.35/x
  3. Step 3: Cross multiply
    313,446.92x = 432,557.62 × 170,209.35
  4. Step 4: Simplify right side
    313,446.92x = 73,625,350,912.22
  5. Step 5: Solve for x
    x = 73,625,350,912.22/313,446.92
  6. Step 6: Final answer
    x = 234,889.38

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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.