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Finding the Fourth Proportional to 297,863.40, 446,874.30 and 129,311.40

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Solution

The fourth proportional to 297,863.40, 446,874.30 and 129,311.40 is: 194,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,863.40 : 446,874.30 = 129,311.40 : x
  2. Step 2: Convert to fraction form
    297,863.40/446,874.30 = 129,311.40/x
  3. Step 3: Cross multiply
    297,863.40x = 446,874.30 × 129,311.40
  4. Step 4: Simplify right side
    297,863.40x = 57,785,941,357.02
  5. Step 5: Solve for x
    x = 57,785,941,357.02/297,863.40
  6. Step 6: Final answer
    x = 194,001.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.