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Finding the Fourth Proportional to 414,291.91, 571,801.36 and 259,315.09

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Solution

The fourth proportional to 414,291.91, 571,801.36 and 259,315.09 is: 357,903.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,291.91 : 571,801.36 = 259,315.09 : x
  2. Step 2: Convert to fraction form
    414,291.91/571,801.36 = 259,315.09/x
  3. Step 3: Cross multiply
    414,291.91x = 571,801.36 × 259,315.09
  4. Step 4: Simplify right side
    414,291.91x = 148,276,721,130.52
  5. Step 5: Solve for x
    x = 148,276,721,130.52/414,291.91
  6. Step 6: Final answer
    x = 357,903.97

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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.