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Finding the Fourth Proportional to 301,600.64, 416,190.48 and 165,608.12

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Solution

The fourth proportional to 301,600.64, 416,190.48 and 165,608.12 is: 228,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,600.64 : 416,190.48 = 165,608.12 : x
  2. Step 2: Convert to fraction form
    301,600.64/416,190.48 = 165,608.12/x
  3. Step 3: Cross multiply
    301,600.64x = 416,190.48 × 165,608.12
  4. Step 4: Simplify right side
    301,600.64x = 68,924,522,954.70
  5. Step 5: Solve for x
    x = 68,924,522,954.70/301,600.64
  6. Step 6: Final answer
    x = 228,529.10

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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.