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Finding the Fourth Proportional to 257,649.69, 385,863.66 and 204,169.71

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Solution

The fourth proportional to 257,649.69, 385,863.66 and 204,169.71 is: 305,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,649.69 : 385,863.66 = 204,169.71 : x
  2. Step 2: Convert to fraction form
    257,649.69/385,863.66 = 204,169.71/x
  3. Step 3: Cross multiply
    257,649.69x = 385,863.66 × 204,169.71
  4. Step 4: Simplify right side
    257,649.69x = 78,781,671,561.74
  5. Step 5: Solve for x
    x = 78,781,671,561.74/257,649.69
  6. Step 6: Final answer
    x = 305,770.49

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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.