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Finding the Fourth Proportional to 410,745.36, 614,716.20 and 344,260.56

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Solution

The fourth proportional to 410,745.36, 614,716.20 and 344,260.56 is: 515,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,745.36 : 614,716.20 = 344,260.56 : x
  2. Step 2: Convert to fraction form
    410,745.36/614,716.20 = 344,260.56/x
  3. Step 3: Cross multiply
    410,745.36x = 614,716.20 × 344,260.56
  4. Step 4: Simplify right side
    410,745.36x = 211,622,543,253.07
  5. Step 5: Solve for x
    x = 211,622,543,253.07/410,745.36
  6. Step 6: Final answer
    x = 515,215.91

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1.5x scale

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.