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Finding the Fourth Proportional to 414,600.50, 621,876.03 and 243,918.11

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Solution

The fourth proportional to 414,600.50, 621,876.03 and 243,918.11 is: 365,862.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,600.50 : 621,876.03 = 243,918.11 : x
  2. Step 2: Convert to fraction form
    414,600.50/621,876.03 = 243,918.11/x
  3. Step 3: Cross multiply
    414,600.50x = 621,876.03 × 243,918.11
  4. Step 4: Simplify right side
    414,600.50x = 151,686,825,891.90
  5. Step 5: Solve for x
    x = 151,686,825,891.90/414,600.50
  6. Step 6: Final answer
    x = 365,862.62

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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.