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Finding the Fourth Proportional to 398,998.80, 598,498.20 and 189,046.80

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Solution

The fourth proportional to 398,998.80, 598,498.20 and 189,046.80 is: 283,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,998.80 : 598,498.20 = 189,046.80 : x
  2. Step 2: Convert to fraction form
    398,998.80/598,498.20 = 189,046.80/x
  3. Step 3: Cross multiply
    398,998.80x = 598,498.20 × 189,046.80
  4. Step 4: Simplify right side
    398,998.80x = 113,144,169,515.76
  5. Step 5: Solve for x
    x = 113,144,169,515.76/398,998.80
  6. Step 6: Final answer
    x = 283,570.20

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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.