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Finding the Fourth Proportional to 297,499.23, 410,536.76 and 161,527.91

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Solution

The fourth proportional to 297,499.23, 410,536.76 and 161,527.91 is: 222,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,499.23 : 410,536.76 = 161,527.91 : x
  2. Step 2: Convert to fraction form
    297,499.23/410,536.76 = 161,527.91/x
  3. Step 3: Cross multiply
    297,499.23x = 410,536.76 × 161,527.91
  4. Step 4: Simplify right side
    297,499.23x = 66,313,141,960.65
  5. Step 5: Solve for x
    x = 66,313,141,960.65/297,499.23
  6. Step 6: Final answer
    x = 222,901.89

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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.