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Finding the Fourth Proportional to 399,218.40, 598,424.40 and 199,231.20

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Solution

The fourth proportional to 399,218.40, 598,424.40 and 199,231.20 is: 298,645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,218.40 : 598,424.40 = 199,231.20 : x
  2. Step 2: Convert to fraction form
    399,218.40/598,424.40 = 199,231.20/x
  3. Step 3: Cross multiply
    399,218.40x = 598,424.40 × 199,231.20
  4. Step 4: Simplify right side
    399,218.40x = 119,224,811,321.28
  5. Step 5: Solve for x
    x = 119,224,811,321.28/399,218.40
  6. Step 6: Final answer
    x = 298,645.58

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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.