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Finding the Fourth Proportional to 301,076.71, 415,447.68 and 165,074.87

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Solution

The fourth proportional to 301,076.71, 415,447.68 and 165,074.87 is: 227,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,076.71 : 415,447.68 = 165,074.87 : x
  2. Step 2: Convert to fraction form
    301,076.71/415,447.68 = 165,074.87/x
  3. Step 3: Cross multiply
    301,076.71x = 415,447.68 × 165,074.87
  4. Step 4: Simplify right side
    301,076.71x = 68,579,972,187.39
  5. Step 5: Solve for x
    x = 68,579,972,187.39/301,076.71
  6. Step 6: Final answer
    x = 227,782.39

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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.