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Finding the Fourth Proportional to 403,821.82, 557,306.58 and 222,570.64

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Solution

The fourth proportional to 403,821.82, 557,306.58 and 222,570.64 is: 307,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,821.82 : 557,306.58 = 222,570.64 : x
  2. Step 2: Convert to fraction form
    403,821.82/557,306.58 = 222,570.64/x
  3. Step 3: Cross multiply
    403,821.82x = 557,306.58 × 222,570.64
  4. Step 4: Simplify right side
    403,821.82x = 124,040,082,186.81
  5. Step 5: Solve for x
    x = 124,040,082,186.81/403,821.82
  6. Step 6: Final answer
    x = 307,165.38

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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.