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Finding the Fourth Proportional to 297,761.34, 410,929.02 and 170,434.20

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Solution

The fourth proportional to 297,761.34, 410,929.02 and 170,434.20 is: 235,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,761.34 : 410,929.02 = 170,434.20 : x
  2. Step 2: Convert to fraction form
    297,761.34/410,929.02 = 170,434.20/x
  3. Step 3: Cross multiply
    297,761.34x = 410,929.02 × 170,434.20
  4. Step 4: Simplify right side
    297,761.34x = 70,036,358,780.48
  5. Step 5: Solve for x
    x = 70,036,358,780.48/297,761.34
  6. Step 6: Final answer
    x = 235,209.71

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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.