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Finding the Fourth Proportional to 301,769.88, 416,449.42 and 165,812.32

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Solution

The fourth proportional to 301,769.88, 416,449.42 and 165,812.32 is: 228,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,769.88 : 416,449.42 = 165,812.32 : x
  2. Step 2: Convert to fraction form
    301,769.88/416,449.42 = 165,812.32/x
  3. Step 3: Cross multiply
    301,769.88x = 416,449.42 × 165,812.32
  4. Step 4: Simplify right side
    301,769.88x = 69,052,444,492.85
  5. Step 5: Solve for x
    x = 69,052,444,492.85/301,769.88
  6. Step 6: Final answer
    x = 228,824.84

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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.