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Finding the Fourth Proportional to 414,744.90, 622,117.35 and 407,832.90

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Solution

The fourth proportional to 414,744.90, 622,117.35 and 407,832.90 is: 611,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,744.90 : 622,117.35 = 407,832.90 : x
  2. Step 2: Convert to fraction form
    414,744.90/622,117.35 = 407,832.90/x
  3. Step 3: Cross multiply
    414,744.90x = 622,117.35 × 407,832.90
  4. Step 4: Simplify right side
    414,744.90x = 253,719,922,990.82
  5. Step 5: Solve for x
    x = 253,719,922,990.82/414,744.90
  6. Step 6: Final answer
    x = 611,749.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.