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Finding the Fourth Proportional to 295,251, 407,444.16 and 167,926.44

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Solution

The fourth proportional to 295,251, 407,444.16 and 167,926.44 is: 231,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,251 : 407,444.16 = 167,926.44 : x
  2. Step 2: Convert to fraction form
    295,251/407,444.16 = 167,926.44/x
  3. Step 3: Cross multiply
    295,251x = 407,444.16 × 167,926.44
  4. Step 4: Simplify right side
    295,251x = 68,420,647,287.59
  5. Step 5: Solve for x
    x = 68,420,647,287.59/295,251
  6. Step 6: Final answer
    x = 231,737.22

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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.