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Finding the Fourth Proportional to 297,983.80, 446,586.90 and 138,041.20

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Solution

The fourth proportional to 297,983.80, 446,586.90 and 138,041.20 is: 206,881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,983.80 : 446,586.90 = 138,041.20 : x
  2. Step 2: Convert to fraction form
    297,983.80/446,586.90 = 138,041.20/x
  3. Step 3: Cross multiply
    297,983.80x = 446,586.90 × 138,041.20
  4. Step 4: Simplify right side
    297,983.80x = 61,647,391,580.28
  5. Step 5: Solve for x
    x = 61,647,391,580.28/297,983.80
  6. Step 6: Final answer
    x = 206,881.69

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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.