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Finding the Fourth Proportional to 410,113.20, 615,342.60 and 223,258.80

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Solution

The fourth proportional to 410,113.20, 615,342.60 and 223,258.80 is: 334,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,113.20 : 615,342.60 = 223,258.80 : x
  2. Step 2: Convert to fraction form
    410,113.20/615,342.60 = 223,258.80/x
  3. Step 3: Cross multiply
    410,113.20x = 615,342.60 × 223,258.80
  4. Step 4: Simplify right side
    410,113.20x = 137,380,650,464.88
  5. Step 5: Solve for x
    x = 137,380,650,464.88/410,113.20
  6. Step 6: Final answer
    x = 334,982.27

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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.