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Finding the Fourth Proportional to 301,367, 415,905.90 and 167,231

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Solution

The fourth proportional to 301,367, 415,905.90 and 167,231 is: 230,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,367 : 415,905.90 = 167,231 : x
  2. Step 2: Convert to fraction form
    301,367/415,905.90 = 167,231/x
  3. Step 3: Cross multiply
    301,367x = 415,905.90 × 167,231
  4. Step 4: Simplify right side
    301,367x = 69,552,359,562.90
  5. Step 5: Solve for x
    x = 69,552,359,562.90/301,367
  6. Step 6: Final answer
    x = 230,789.57

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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.