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Finding the Fourth Proportional to 313,694.38, 432,900.98 and 170,454.42

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Solution

The fourth proportional to 313,694.38, 432,900.98 and 170,454.42 is: 235,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,694.38 : 432,900.98 = 170,454.42 : x
  2. Step 2: Convert to fraction form
    313,694.38/432,900.98 = 170,454.42/x
  3. Step 3: Cross multiply
    313,694.38x = 432,900.98 × 170,454.42
  4. Step 4: Simplify right side
    313,694.38x = 73,789,884,611.06
  5. Step 5: Solve for x
    x = 73,789,884,611.06/313,694.38
  6. Step 6: Final answer
    x = 235,228.59

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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.