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Finding the Fourth Proportional to 408,757.84, 613,261.60 and 209,219.60

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Solution

The fourth proportional to 408,757.84, 613,261.60 and 209,219.60 is: 313,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,757.84 : 613,261.60 = 209,219.60 : x
  2. Step 2: Convert to fraction form
    408,757.84/613,261.60 = 209,219.60/x
  3. Step 3: Cross multiply
    408,757.84x = 613,261.60 × 209,219.60
  4. Step 4: Simplify right side
    408,757.84x = 128,306,346,647.36
  5. Step 5: Solve for x
    x = 128,306,346,647.36/408,757.84
  6. Step 6: Final answer
    x = 313,893.30

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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.