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Finding the Fourth Proportional to 403,408.86, 556,699.53 and 222,116.94

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Solution

The fourth proportional to 403,408.86, 556,699.53 and 222,116.94 is: 306,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,408.86 : 556,699.53 = 222,116.94 : x
  2. Step 2: Convert to fraction form
    403,408.86/556,699.53 = 222,116.94/x
  3. Step 3: Cross multiply
    403,408.86x = 556,699.53 × 222,116.94
  4. Step 4: Simplify right side
    403,408.86x = 123,652,396,103.04
  5. Step 5: Solve for x
    x = 123,652,396,103.04/403,408.86
  6. Step 6: Final answer
    x = 306,518.79

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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.