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Finding the Fourth Proportional to 301,144.58, 415,572.37 and 165,177.33

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Solution

The fourth proportional to 301,144.58, 415,572.37 and 165,177.33 is: 227,940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,144.58 : 415,572.37 = 165,177.33 : x
  2. Step 2: Convert to fraction form
    301,144.58/415,572.37 = 165,177.33/x
  3. Step 3: Cross multiply
    301,144.58x = 415,572.37 × 165,177.33
  4. Step 4: Simplify right side
    301,144.58x = 68,643,133,456.15
  5. Step 5: Solve for x
    x = 68,643,133,456.15/301,144.58
  6. Step 6: Final answer
    x = 227,940.79

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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.