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Finding the Fourth Proportional to 345,201.78, 476,348.13 and 192,228.42

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Solution

The fourth proportional to 345,201.78, 476,348.13 and 192,228.42 is: 265,258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,201.78 : 476,348.13 = 192,228.42 : x
  2. Step 2: Convert to fraction form
    345,201.78/476,348.13 = 192,228.42/x
  3. Step 3: Cross multiply
    345,201.78x = 476,348.13 × 192,228.42
  4. Step 4: Simplify right side
    345,201.78x = 91,567,648,399.85
  5. Step 5: Solve for x
    x = 91,567,648,399.85/345,201.78
  6. Step 6: Final answer
    x = 265,258.33

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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.