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Finding the Fourth Proportional to 313,265.43, 432,306.72 and 170,025.48

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Solution

The fourth proportional to 313,265.43, 432,306.72 and 170,025.48 is: 234,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,265.43 : 432,306.72 = 170,025.48 : x
  2. Step 2: Convert to fraction form
    313,265.43/432,306.72 = 170,025.48/x
  3. Step 3: Cross multiply
    313,265.43x = 432,306.72 × 170,025.48
  4. Step 4: Simplify right side
    313,265.43x = 73,503,157,575.23
  5. Step 5: Solve for x
    x = 73,503,157,575.23/313,265.43
  6. Step 6: Final answer
    x = 234,635.39

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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.