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Finding the Fourth Proportional to 414,422.47, 571,902.17 and 233,134.52

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Solution

The fourth proportional to 414,422.47, 571,902.17 and 233,134.52 is: 321,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,422.47 : 571,902.17 = 233,134.52 : x
  2. Step 2: Convert to fraction form
    414,422.47/571,902.17 = 233,134.52/x
  3. Step 3: Cross multiply
    414,422.47x = 571,902.17 × 233,134.52
  4. Step 4: Simplify right side
    414,422.47x = 133,330,138,153.99
  5. Step 5: Solve for x
    x = 133,330,138,153.99/414,422.47
  6. Step 6: Final answer
    x = 321,725.17

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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.