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Finding the Fourth Proportional to 414,542.20, 620,891.70 and 359,246.20

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Solution

The fourth proportional to 414,542.20, 620,891.70 and 359,246.20 is: 538,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,542.20 : 620,891.70 = 359,246.20 : x
  2. Step 2: Convert to fraction form
    414,542.20/620,891.70 = 359,246.20/x
  3. Step 3: Cross multiply
    414,542.20x = 620,891.70 × 359,246.20
  4. Step 4: Simplify right side
    414,542.20x = 223,052,983,836.54
  5. Step 5: Solve for x
    x = 223,052,983,836.54/414,542.20
  6. Step 6: Final answer
    x = 538,070.63

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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.