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Finding the Fourth Proportional to 408,076.80, 612,115.20 and 313,598.40

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Solution

The fourth proportional to 408,076.80, 612,115.20 and 313,598.40 is: 470,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,076.80 : 612,115.20 = 313,598.40 : x
  2. Step 2: Convert to fraction form
    408,076.80/612,115.20 = 313,598.40/x
  3. Step 3: Cross multiply
    408,076.80x = 612,115.20 × 313,598.40
  4. Step 4: Simplify right side
    408,076.80x = 191,958,347,335.68
  5. Step 5: Solve for x
    x = 191,958,347,335.68/408,076.80
  6. Step 6: Final answer
    x = 470,397.60

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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.