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Finding the Fourth Proportional to 414,426.39, 571,902.71 and 233,138.26

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Solution

The fourth proportional to 414,426.39, 571,902.71 and 233,138.26 is: 321,727.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,426.39 : 571,902.71 = 233,138.26 : x
  2. Step 2: Convert to fraction form
    414,426.39/571,902.71 = 233,138.26/x
  3. Step 3: Cross multiply
    414,426.39x = 571,902.71 × 233,138.26
  4. Step 4: Simplify right side
    414,426.39x = 133,332,402,247.87
  5. Step 5: Solve for x
    x = 133,332,402,247.87/414,426.39
  6. Step 6: Final answer
    x = 321,727.59

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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.