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Finding the Fourth Proportional to 301,344.77, 415,854.48 and 165,380.92

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Solution

The fourth proportional to 301,344.77, 415,854.48 and 165,380.92 is: 228,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,344.77 : 415,854.48 = 165,380.92 : x
  2. Step 2: Convert to fraction form
    301,344.77/415,854.48 = 165,380.92/x
  3. Step 3: Cross multiply
    301,344.77x = 415,854.48 × 165,380.92
  4. Step 4: Simplify right side
    301,344.77x = 68,774,394,409.25
  5. Step 5: Solve for x
    x = 68,774,394,409.25/301,344.77
  6. Step 6: Final answer
    x = 228,224.95

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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.