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Finding the Fourth Proportional to 410,198.40, 615,297.60 and 354,902.40

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Solution

The fourth proportional to 410,198.40, 615,297.60 and 354,902.40 is: 532,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,198.40 : 615,297.60 = 354,902.40 : x
  2. Step 2: Convert to fraction form
    410,198.40/615,297.60 = 354,902.40/x
  3. Step 3: Cross multiply
    410,198.40x = 615,297.60 × 354,902.40
  4. Step 4: Simplify right side
    410,198.40x = 218,370,594,954.24
  5. Step 5: Solve for x
    x = 218,370,594,954.24/410,198.40
  6. Step 6: Final answer
    x = 532,353.60

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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.