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Finding the Fourth Proportional to 410,216.40, 615,324.60 and 354,920.40

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Solution

The fourth proportional to 410,216.40, 615,324.60 and 354,920.40 is: 532,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,216.40 : 615,324.60 = 354,920.40 : x
  2. Step 2: Convert to fraction form
    410,216.40/615,324.60 = 354,920.40/x
  3. Step 3: Cross multiply
    410,216.40x = 615,324.60 × 354,920.40
  4. Step 4: Simplify right side
    410,216.40x = 218,391,253,161.84
  5. Step 5: Solve for x
    x = 218,391,253,161.84/410,216.40
  6. Step 6: Final answer
    x = 532,380.60

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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.