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Finding the Fourth Proportional to 437,211.88, 655,026.78 and 200,752.36

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Solution

The fourth proportional to 437,211.88, 655,026.78 and 200,752.36 is: 300,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,211.88 : 655,026.78 = 200,752.36 : x
  2. Step 2: Convert to fraction form
    437,211.88/655,026.78 = 200,752.36/x
  3. Step 3: Cross multiply
    437,211.88x = 655,026.78 × 200,752.36
  4. Step 4: Simplify right side
    437,211.88x = 131,498,171,948.20
  5. Step 5: Solve for x
    x = 131,498,171,948.20/437,211.88
  6. Step 6: Final answer
    x = 300,765.32

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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.