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Finding the Fourth Proportional to 414,808.80, 572,446.80 and 233,527.20

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Solution

The fourth proportional to 414,808.80, 572,446.80 and 233,527.20 is: 322,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,808.80 : 572,446.80 = 233,527.20 : x
  2. Step 2: Convert to fraction form
    414,808.80/572,446.80 = 233,527.20/x
  3. Step 3: Cross multiply
    414,808.80x = 572,446.80 × 233,527.20
  4. Step 4: Simplify right side
    414,808.80x = 133,681,898,352.96
  5. Step 5: Solve for x
    x = 133,681,898,352.96/414,808.80
  6. Step 6: Final answer
    x = 322,273.54

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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.