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Finding the Fourth Proportional to 414,390.31, 571,909.22 and 233,109.88

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Solution

The fourth proportional to 414,390.31, 571,909.22 and 233,109.88 is: 321,720.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,390.31 : 571,909.22 = 233,109.88 : x
  2. Step 2: Convert to fraction form
    414,390.31/571,909.22 = 233,109.88/x
  3. Step 3: Cross multiply
    414,390.31x = 571,909.22 × 233,109.88
  4. Step 4: Simplify right side
    414,390.31x = 133,317,689,645.09
  5. Step 5: Solve for x
    x = 133,317,689,645.09/414,390.31
  6. Step 6: Final answer
    x = 321,720.09

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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.