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Finding the Fourth Proportional to 414,436.44, 571,909.50 and 233,158.44

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Solution

The fourth proportional to 414,436.44, 571,909.50 and 233,158.44 is: 321,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,436.44 : 571,909.50 = 233,158.44 : x
  2. Step 2: Convert to fraction form
    414,436.44/571,909.50 = 233,158.44/x
  3. Step 3: Cross multiply
    414,436.44x = 571,909.50 × 233,158.44
  4. Step 4: Simplify right side
    414,436.44x = 133,345,526,841.18
  5. Step 5: Solve for x
    x = 133,345,526,841.18/414,436.44
  6. Step 6: Final answer
    x = 321,751.45

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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.