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Finding the Fourth Proportional to 398,736.20, 598,209.90 and 174,000.20

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Solution

The fourth proportional to 398,736.20, 598,209.90 and 174,000.20 is: 261,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,736.20 : 598,209.90 = 174,000.20 : x
  2. Step 2: Convert to fraction form
    398,736.20/598,209.90 = 174,000.20/x
  3. Step 3: Cross multiply
    398,736.20x = 598,209.90 × 174,000.20
  4. Step 4: Simplify right side
    398,736.20x = 104,088,642,241.98
  5. Step 5: Solve for x
    x = 104,088,642,241.98/398,736.20
  6. Step 6: Final answer
    x = 261,046.38

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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.