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Finding the Fourth Proportional to 297,761.43, 410,929.17 and 170,434.11

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Solution

The fourth proportional to 297,761.43, 410,929.17 and 170,434.11 is: 235,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,761.43 : 410,929.17 = 170,434.11 : x
  2. Step 2: Convert to fraction form
    297,761.43/410,929.17 = 170,434.11/x
  3. Step 3: Cross multiply
    297,761.43x = 410,929.17 × 170,434.11
  4. Step 4: Simplify right side
    297,761.43x = 70,036,347,361.99
  5. Step 5: Solve for x
    x = 70,036,347,361.99/297,761.43
  6. Step 6: Final answer
    x = 235,209.60

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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.