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Finding the Fourth Proportional to 410,645.20, 616,198.20 and 173,947.60

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Solution

The fourth proportional to 410,645.20, 616,198.20 and 173,947.60 is: 261,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,645.20 : 616,198.20 = 173,947.60 : x
  2. Step 2: Convert to fraction form
    410,645.20/616,198.20 = 173,947.60/x
  3. Step 3: Cross multiply
    410,645.20x = 616,198.20 × 173,947.60
  4. Step 4: Simplify right side
    410,645.20x = 107,186,198,014.32
  5. Step 5: Solve for x
    x = 107,186,198,014.32/410,645.20
  6. Step 6: Final answer
    x = 261,019.00

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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.