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Finding the Fourth Proportional to 414,278.49, 571,698.87 and 232,990.35

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Solution

The fourth proportional to 414,278.49, 571,698.87 and 232,990.35 is: 321,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,278.49 : 571,698.87 = 232,990.35 : x
  2. Step 2: Convert to fraction form
    414,278.49/571,698.87 = 232,990.35/x
  3. Step 3: Cross multiply
    414,278.49x = 571,698.87 × 232,990.35
  4. Step 4: Simplify right side
    414,278.49x = 133,200,319,815.91
  5. Step 5: Solve for x
    x = 133,200,319,815.91/414,278.49
  6. Step 6: Final answer
    x = 321,523.62

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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.