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Finding the Fourth Proportional to 414,734.60, 622,101.90 and 282,024.20

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Solution

The fourth proportional to 414,734.60, 622,101.90 and 282,024.20 is: 423,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,734.60 : 622,101.90 = 282,024.20 : x
  2. Step 2: Convert to fraction form
    414,734.60/622,101.90 = 282,024.20/x
  3. Step 3: Cross multiply
    414,734.60x = 622,101.90 × 282,024.20
  4. Step 4: Simplify right side
    414,734.60x = 175,447,790,665.98
  5. Step 5: Solve for x
    x = 175,447,790,665.98/414,734.60
  6. Step 6: Final answer
    x = 423,036.30

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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.