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Finding the Fourth Proportional to 312,445.26, 431,388.45 and 199,421.10

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Solution

The fourth proportional to 312,445.26, 431,388.45 and 199,421.10 is: 275,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,445.26 : 431,388.45 = 199,421.10 : x
  2. Step 2: Convert to fraction form
    312,445.26/431,388.45 = 199,421.10/x
  3. Step 3: Cross multiply
    312,445.26x = 431,388.45 × 199,421.10
  4. Step 4: Simplify right side
    312,445.26x = 86,027,959,226.30
  5. Step 5: Solve for x
    x = 86,027,959,226.30/312,445.26
  6. Step 6: Final answer
    x = 275,337.70

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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.