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Finding the Fourth Proportional to 414,073.84, 571,350.56 and 232,760.64

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Solution

The fourth proportional to 414,073.84, 571,350.56 and 232,760.64 is: 321,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,073.84 : 571,350.56 = 232,760.64 : x
  2. Step 2: Convert to fraction form
    414,073.84/571,350.56 = 232,760.64/x
  3. Step 3: Cross multiply
    414,073.84x = 571,350.56 × 232,760.64
  4. Step 4: Simplify right side
    414,073.84x = 132,987,922,009.96
  5. Step 5: Solve for x
    x = 132,987,922,009.96/414,073.84
  6. Step 6: Final answer
    x = 321,169.58

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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.