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Finding the Fourth Proportional to 399,250.54, 598,377.48 and 199,628.02

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Solution

The fourth proportional to 399,250.54, 598,377.48 and 199,628.02 is: 299,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,250.54 : 598,377.48 = 199,628.02 : x
  2. Step 2: Convert to fraction form
    399,250.54/598,377.48 = 199,628.02/x
  3. Step 3: Cross multiply
    399,250.54x = 598,377.48 × 199,628.02
  4. Step 4: Simplify right side
    399,250.54x = 119,452,911,544.99
  5. Step 5: Solve for x
    x = 119,452,911,544.99/399,250.54
  6. Step 6: Final answer
    x = 299,192.86

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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.