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Finding the Fourth Proportional to 657,647.10, 986,470.65 and 584,163.90

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Solution

The fourth proportional to 657,647.10, 986,470.65 and 584,163.90 is: 876,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,647.10 : 986,470.65 = 584,163.90 : x
  2. Step 2: Convert to fraction form
    657,647.10/986,470.65 = 584,163.90/x
  3. Step 3: Cross multiply
    657,647.10x = 986,470.65 × 584,163.90
  4. Step 4: Simplify right side
    657,647.10x = 576,260,542,139.54
  5. Step 5: Solve for x
    x = 576,260,542,139.54/657,647.10
  6. Step 6: Final answer
    x = 876,245.85

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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.