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Finding the Fourth Proportional to 657,115.70, 985,126.80 and 278,327.30

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Solution

The fourth proportional to 657,115.70, 985,126.80 and 278,327.30 is: 417,259.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,115.70 : 985,126.80 = 278,327.30 : x
  2. Step 2: Convert to fraction form
    657,115.70/985,126.80 = 278,327.30/x
  3. Step 3: Cross multiply
    657,115.70x = 985,126.80 × 278,327.30
  4. Step 4: Simplify right side
    657,115.70x = 274,187,682,401.64
  5. Step 5: Solve for x
    x = 274,187,682,401.64/657,115.70
  6. Step 6: Final answer
    x = 417,259.37

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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.