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Finding the Fourth Proportional to 301,507.35, 416,080.95 and 165,550.11

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Solution

The fourth proportional to 301,507.35, 416,080.95 and 165,550.11 is: 228,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,507.35 : 416,080.95 = 165,550.11 : x
  2. Step 2: Convert to fraction form
    301,507.35/416,080.95 = 165,550.11/x
  3. Step 3: Cross multiply
    301,507.35x = 416,080.95 × 165,550.11
  4. Step 4: Simplify right side
    301,507.35x = 68,882,244,860.29
  5. Step 5: Solve for x
    x = 68,882,244,860.29/301,507.35
  6. Step 6: Final answer
    x = 228,459.59

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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.