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Finding the Fourth Proportional to 414,699.40, 622,705.20 and 314,972.20

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Solution

The fourth proportional to 414,699.40, 622,705.20 and 314,972.20 is: 472,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,699.40 : 622,705.20 = 314,972.20 : x
  2. Step 2: Convert to fraction form
    414,699.40/622,705.20 = 314,972.20/x
  3. Step 3: Cross multiply
    414,699.40x = 622,705.20 × 314,972.20
  4. Step 4: Simplify right side
    414,699.40x = 196,134,826,795.44
  5. Step 5: Solve for x
    x = 196,134,826,795.44/414,699.40
  6. Step 6: Final answer
    x = 472,956.62

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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.