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Finding the Fourth Proportional to 297,849.14, 411,034.96 and 161,883.10

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Solution

The fourth proportional to 297,849.14, 411,034.96 and 161,883.10 is: 223,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,849.14 : 411,034.96 = 161,883.10 : x
  2. Step 2: Convert to fraction form
    297,849.14/411,034.96 = 161,883.10/x
  3. Step 3: Cross multiply
    297,849.14x = 411,034.96 × 161,883.10
  4. Step 4: Simplify right side
    297,849.14x = 66,539,611,478.00
  5. Step 5: Solve for x
    x = 66,539,611,478.00/297,849.14
  6. Step 6: Final answer
    x = 223,400.39

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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.