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Finding the Fourth Proportional to 301,645.10, 416,275.22 and 165,691.61

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Solution

The fourth proportional to 301,645.10, 416,275.22 and 165,691.61 is: 228,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,645.10 : 416,275.22 = 165,691.61 : x
  2. Step 2: Convert to fraction form
    301,645.10/416,275.22 = 165,691.61/x
  3. Step 3: Cross multiply
    301,645.10x = 416,275.22 × 165,691.61
  4. Step 4: Simplify right side
    301,645.10x = 68,973,309,737.76
  5. Step 5: Solve for x
    x = 68,973,309,737.76/301,645.10
  6. Step 6: Final answer
    x = 228,657.16

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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.