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Finding the Fourth Proportional to 313,209.31, 432,229.11 and 169,969.34

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Solution

The fourth proportional to 313,209.31, 432,229.11 and 169,969.34 is: 234,557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,209.31 : 432,229.11 = 169,969.34 : x
  2. Step 2: Convert to fraction form
    313,209.31/432,229.11 = 169,969.34/x
  3. Step 3: Cross multiply
    313,209.31x = 432,229.11 × 169,969.34
  4. Step 4: Simplify right side
    313,209.31x = 73,465,695,523.46
  5. Step 5: Solve for x
    x = 73,465,695,523.46/313,209.31
  6. Step 6: Final answer
    x = 234,557.83

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1.5x scale

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.