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Finding the Fourth Proportional to 354,280.26, 488,882.25 and 199,254.78

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Solution

The fourth proportional to 354,280.26, 488,882.25 and 199,254.78 is: 274,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,280.26 : 488,882.25 = 199,254.78 : x
  2. Step 2: Convert to fraction form
    354,280.26/488,882.25 = 199,254.78/x
  3. Step 3: Cross multiply
    354,280.26x = 488,882.25 × 199,254.78
  4. Step 4: Simplify right side
    354,280.26x = 97,412,125,169.66
  5. Step 5: Solve for x
    x = 97,412,125,169.66/354,280.26
  6. Step 6: Final answer
    x = 274,957.81

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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.