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Finding the Fourth Proportional to 301,690.84, 416,336 and 165,727.55

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Solution

The fourth proportional to 301,690.84, 416,336 and 165,727.55 is: 228,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,690.84 : 416,336 = 165,727.55 : x
  2. Step 2: Convert to fraction form
    301,690.84/416,336 = 165,727.55/x
  3. Step 3: Cross multiply
    301,690.84x = 416,336 × 165,727.55
  4. Step 4: Simplify right side
    301,690.84x = 68,998,345,256.80
  5. Step 5: Solve for x
    x = 68,998,345,256.80/301,690.84
  6. Step 6: Final answer
    x = 228,705.47

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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.