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Finding the Fourth Proportional to 437,214.88, 655,031.28 and 200,755.36

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Solution

The fourth proportional to 437,214.88, 655,031.28 and 200,755.36 is: 300,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,214.88 : 655,031.28 = 200,755.36 : x
  2. Step 2: Convert to fraction form
    437,214.88/655,031.28 = 200,755.36/x
  3. Step 3: Cross multiply
    437,214.88x = 655,031.28 × 200,755.36
  4. Step 4: Simplify right side
    437,214.88x = 131,501,040,427.66
  5. Step 5: Solve for x
    x = 131,501,040,427.66/437,214.88
  6. Step 6: Final answer
    x = 300,769.82

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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.