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Finding the Fourth Proportional to 308,775, 426,109.50 and 167,463

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Solution

The fourth proportional to 308,775, 426,109.50 and 167,463 is: 231,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,775 : 426,109.50 = 167,463 : x
  2. Step 2: Convert to fraction form
    308,775/426,109.50 = 167,463/x
  3. Step 3: Cross multiply
    308,775x = 426,109.50 × 167,463
  4. Step 4: Simplify right side
    308,775x = 71,357,575,198.50
  5. Step 5: Solve for x
    x = 71,357,575,198.50/308,775
  6. Step 6: Final answer
    x = 231,098.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.