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Finding the Fourth Proportional to 295,227, 407,411.10 and 167,902.44

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Solution

The fourth proportional to 295,227, 407,411.10 and 167,902.44 is: 231,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,227 : 407,411.10 = 167,902.44 : x
  2. Step 2: Convert to fraction form
    295,227/407,411.10 = 167,902.44/x
  3. Step 3: Cross multiply
    295,227x = 407,411.10 × 167,902.44
  4. Step 4: Simplify right side
    295,227x = 68,405,317,773.08
  5. Step 5: Solve for x
    x = 68,405,317,773.08/295,227
  6. Step 6: Final answer
    x = 231,704.14

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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.