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Finding the Fourth Proportional to 301,690.90, 416,336.16 and 165,727.60

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Solution

The fourth proportional to 301,690.90, 416,336.16 and 165,727.60 is: 228,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,690.90 : 416,336.16 = 165,727.60 : x
  2. Step 2: Convert to fraction form
    301,690.90/416,336.16 = 165,727.60/x
  3. Step 3: Cross multiply
    301,690.90x = 416,336.16 × 165,727.60
  4. Step 4: Simplify right side
    301,690.90x = 68,998,392,590.02
  5. Step 5: Solve for x
    x = 68,998,392,590.02/301,690.90
  6. Step 6: Final answer
    x = 228,705.58

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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.