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Finding the Fourth Proportional to 414,968.73, 572,651.24 and 233,682.90

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Solution

The fourth proportional to 414,968.73, 572,651.24 and 233,682.90 is: 322,479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,968.73 : 572,651.24 = 233,682.90 : x
  2. Step 2: Convert to fraction form
    414,968.73/572,651.24 = 233,682.90/x
  3. Step 3: Cross multiply
    414,968.73x = 572,651.24 × 233,682.90
  4. Step 4: Simplify right side
    414,968.73x = 133,818,801,283.38
  5. Step 5: Solve for x
    x = 133,818,801,283.38/414,968.73
  6. Step 6: Final answer
    x = 322,479.24

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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.