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Finding the Fourth Proportional to 403,976.42, 557,462.41 and 222,678.98

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Solution

The fourth proportional to 403,976.42, 557,462.41 and 222,678.98 is: 307,283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,976.42 : 557,462.41 = 222,678.98 : x
  2. Step 2: Convert to fraction form
    403,976.42/557,462.41 = 222,678.98/x
  3. Step 3: Cross multiply
    403,976.42x = 557,462.41 × 222,678.98
  4. Step 4: Simplify right side
    403,976.42x = 124,135,160,847.14
  5. Step 5: Solve for x
    x = 124,135,160,847.14/403,976.42
  6. Step 6: Final answer
    x = 307,283.18

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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.