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Finding the Fourth Proportional to 410,202.25, 614,417.63 and 400,163.92

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Solution

The fourth proportional to 410,202.25, 614,417.63 and 400,163.92 is: 599,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,202.25 : 614,417.63 = 400,163.92 : x
  2. Step 2: Convert to fraction form
    410,202.25/614,417.63 = 400,163.92/x
  3. Step 3: Cross multiply
    410,202.25x = 614,417.63 × 400,163.92
  4. Step 4: Simplify right side
    410,202.25x = 245,867,763,801.05
  5. Step 5: Solve for x
    x = 245,867,763,801.05/410,202.25
  6. Step 6: Final answer
    x = 599,381.81

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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.