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Finding the Fourth Proportional to 414,775.44, 572,383.76 and 233,486.82

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Solution

The fourth proportional to 414,775.44, 572,383.76 and 233,486.82 is: 322,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,775.44 : 572,383.76 = 233,486.82 : x
  2. Step 2: Convert to fraction form
    414,775.44/572,383.76 = 233,486.82/x
  3. Step 3: Cross multiply
    414,775.44x = 572,383.76 × 233,486.82
  4. Step 4: Simplify right side
    414,775.44x = 133,644,062,774.61
  5. Step 5: Solve for x
    x = 133,644,062,774.61/414,775.44
  6. Step 6: Final answer
    x = 322,208.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.