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Finding the Fourth Proportional to 301,134.24, 415,562.42 and 165,165.42

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Solution

The fourth proportional to 301,134.24, 415,562.42 and 165,165.42 is: 227,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,134.24 : 415,562.42 = 165,165.42 : x
  2. Step 2: Convert to fraction form
    301,134.24/415,562.42 = 165,165.42/x
  3. Step 3: Cross multiply
    301,134.24x = 415,562.42 × 165,165.42
  4. Step 4: Simplify right side
    301,134.24x = 68,636,541,635.52
  5. Step 5: Solve for x
    x = 68,636,541,635.52/301,134.24
  6. Step 6: Final answer
    x = 227,926.73

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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.