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Finding the Fourth Proportional to 398,410.80, 597,616.20 and 308,209.20

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Solution

The fourth proportional to 398,410.80, 597,616.20 and 308,209.20 is: 462,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,410.80 : 597,616.20 = 308,209.20 : x
  2. Step 2: Convert to fraction form
    398,410.80/597,616.20 = 308,209.20/x
  3. Step 3: Cross multiply
    398,410.80x = 597,616.20 × 308,209.20
  4. Step 4: Simplify right side
    398,410.80x = 184,190,810,909.04
  5. Step 5: Solve for x
    x = 184,190,810,909.04/398,410.80
  6. Step 6: Final answer
    x = 462,313.80

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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.