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Finding the Fourth Proportional to 354,198.47, 488,794.25 and 193,053.65

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Solution

The fourth proportional to 354,198.47, 488,794.25 and 193,053.65 is: 266,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,198.47 : 488,794.25 = 193,053.65 : x
  2. Step 2: Convert to fraction form
    354,198.47/488,794.25 = 193,053.65/x
  3. Step 3: Cross multiply
    354,198.47x = 488,794.25 × 193,053.65
  4. Step 4: Simplify right side
    354,198.47x = 94,363,512,100.18
  5. Step 5: Solve for x
    x = 94,363,512,100.18/354,198.47
  6. Step 6: Final answer
    x = 266,414.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.