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Finding the Fourth Proportional to 301,265.15, 415,753.56 and 165,299.06

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Solution

The fourth proportional to 301,265.15, 415,753.56 and 165,299.06 is: 228,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,265.15 : 415,753.56 = 165,299.06 : x
  2. Step 2: Convert to fraction form
    301,265.15/415,753.56 = 165,299.06/x
  3. Step 3: Cross multiply
    301,265.15x = 415,753.56 × 165,299.06
  4. Step 4: Simplify right side
    301,265.15x = 68,723,671,833.16
  5. Step 5: Solve for x
    x = 68,723,671,833.16/301,265.15
  6. Step 6: Final answer
    x = 228,116.90

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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.