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Finding the Fourth Proportional to 410,107.20, 615,333.60 and 223,252.80

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Solution

The fourth proportional to 410,107.20, 615,333.60 and 223,252.80 is: 334,973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,107.20 : 615,333.60 = 223,252.80 : x
  2. Step 2: Convert to fraction form
    410,107.20/615,333.60 = 223,252.80/x
  3. Step 3: Cross multiply
    410,107.20x = 615,333.60 × 223,252.80
  4. Step 4: Simplify right side
    410,107.20x = 137,374,949,134.08
  5. Step 5: Solve for x
    x = 137,374,949,134.08/410,107.20
  6. Step 6: Final answer
    x = 334,973.27

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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.