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Finding the Fourth Proportional to 398,794.20, 598,191.30 and 304,315.80

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Solution

The fourth proportional to 398,794.20, 598,191.30 and 304,315.80 is: 456,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,794.20 : 598,191.30 = 304,315.80 : x
  2. Step 2: Convert to fraction form
    398,794.20/598,191.30 = 304,315.80/x
  3. Step 3: Cross multiply
    398,794.20x = 598,191.30 × 304,315.80
  4. Step 4: Simplify right side
    398,794.20x = 182,039,064,012.54
  5. Step 5: Solve for x
    x = 182,039,064,012.54/398,794.20
  6. Step 6: Final answer
    x = 456,473.70

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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.