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Finding the Fourth Proportional to 410,216.40, 614,340.45 and 199,608.30

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Solution

The fourth proportional to 410,216.40, 614,340.45 and 199,608.30 is: 298,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,216.40 : 614,340.45 = 199,608.30 : x
  2. Step 2: Convert to fraction form
    410,216.40/614,340.45 = 199,608.30/x
  3. Step 3: Cross multiply
    410,216.40x = 614,340.45 × 199,608.30
  4. Step 4: Simplify right side
    410,216.40x = 122,627,452,845.74
  5. Step 5: Solve for x
    x = 122,627,452,845.74/410,216.40
  6. Step 6: Final answer
    x = 298,933.57

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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.