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Finding the Fourth Proportional to 410,615.20, 615,346.80 and 326,519.20

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Solution

The fourth proportional to 410,615.20, 615,346.80 and 326,519.20 is: 489,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,615.20 : 615,346.80 = 326,519.20 : x
  2. Step 2: Convert to fraction form
    410,615.20/615,346.80 = 326,519.20/x
  3. Step 3: Cross multiply
    410,615.20x = 615,346.80 × 326,519.20
  4. Step 4: Simplify right side
    410,615.20x = 200,922,544,858.56
  5. Step 5: Solve for x
    x = 200,922,544,858.56/410,615.20
  6. Step 6: Final answer
    x = 489,320.77

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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.