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Finding the Fourth Proportional to 414,302.35, 571,671.33 and 232,979.23

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Solution

The fourth proportional to 414,302.35, 571,671.33 and 232,979.23 is: 321,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,302.35 : 571,671.33 = 232,979.23 : x
  2. Step 2: Convert to fraction form
    414,302.35/571,671.33 = 232,979.23/x
  3. Step 3: Cross multiply
    414,302.35x = 571,671.33 × 232,979.23
  4. Step 4: Simplify right side
    414,302.35x = 133,187,546,276.48
  5. Step 5: Solve for x
    x = 133,187,546,276.48/414,302.35
  6. Step 6: Final answer
    x = 321,474.27

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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.