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Finding the Fourth Proportional to 295,187.44, 407,490.60 and 199,983.28

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Solution

The fourth proportional to 295,187.44, 407,490.60 and 199,983.28 is: 276,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,187.44 : 407,490.60 = 199,983.28 : x
  2. Step 2: Convert to fraction form
    295,187.44/407,490.60 = 199,983.28/x
  3. Step 3: Cross multiply
    295,187.44x = 407,490.60 × 199,983.28
  4. Step 4: Simplify right side
    295,187.44x = 81,491,306,757.17
  5. Step 5: Solve for x
    x = 81,491,306,757.17/295,187.44
  6. Step 6: Final answer
    x = 276,066.31

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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.