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Finding the Fourth Proportional to 270,458.60, 405,726.30 and 83,450.60

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Solution

The fourth proportional to 270,458.60, 405,726.30 and 83,450.60 is: 125,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,458.60 : 405,726.30 = 83,450.60 : x
  2. Step 2: Convert to fraction form
    270,458.60/405,726.30 = 83,450.60/x
  3. Step 3: Cross multiply
    270,458.60x = 405,726.30 × 83,450.60
  4. Step 4: Simplify right side
    270,458.60x = 33,858,103,170.78
  5. Step 5: Solve for x
    x = 33,858,103,170.78/270,458.60
  6. Step 6: Final answer
    x = 125,187.75

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1.5x scale

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.