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Finding the Fourth Proportional to 301,601.64, 416,191.86 and 165,609.12

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Solution

The fourth proportional to 301,601.64, 416,191.86 and 165,609.12 is: 228,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,601.64 : 416,191.86 = 165,609.12 : x
  2. Step 2: Convert to fraction form
    301,601.64/416,191.86 = 165,609.12/x
  3. Step 3: Cross multiply
    301,601.64x = 416,191.86 × 165,609.12
  4. Step 4: Simplify right side
    301,601.64x = 68,925,167,685.76
  5. Step 5: Solve for x
    x = 68,925,167,685.76/301,601.64
  6. Step 6: Final answer
    x = 228,530.48

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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.