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Finding the Fourth Proportional to 414,745.40, 622,118.10 and 407,833.40

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Solution

The fourth proportional to 414,745.40, 622,118.10 and 407,833.40 is: 611,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,745.40 : 622,118.10 = 407,833.40 : x
  2. Step 2: Convert to fraction form
    414,745.40/622,118.10 = 407,833.40/x
  3. Step 3: Cross multiply
    414,745.40x = 622,118.10 × 407,833.40
  4. Step 4: Simplify right side
    414,745.40x = 253,720,539,924.54
  5. Step 5: Solve for x
    x = 253,720,539,924.54/414,745.40
  6. Step 6: Final answer
    x = 611,750.10

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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.