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Finding the Fourth Proportional to 403,936.30, 557,436 and 222,655.24

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Solution

The fourth proportional to 403,936.30, 557,436 and 222,655.24 is: 307,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,936.30 : 557,436 = 222,655.24 : x
  2. Step 2: Convert to fraction form
    403,936.30/557,436 = 222,655.24/x
  3. Step 3: Cross multiply
    403,936.30x = 557,436 × 222,655.24
  4. Step 4: Simplify right side
    403,936.30x = 124,116,046,364.64
  5. Step 5: Solve for x
    x = 124,116,046,364.64/403,936.30
  6. Step 6: Final answer
    x = 307,266.38

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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.