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Finding the Fourth Proportional to 297,359.91, 410,239.89 and 169,967.16

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Solution

The fourth proportional to 297,359.91, 410,239.89 and 169,967.16 is: 234,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,359.91 : 410,239.89 = 169,967.16 : x
  2. Step 2: Convert to fraction form
    297,359.91/410,239.89 = 169,967.16/x
  3. Step 3: Cross multiply
    297,359.91x = 410,239.89 × 169,967.16
  4. Step 4: Simplify right side
    297,359.91x = 69,727,309,022.01
  5. Step 5: Solve for x
    x = 69,727,309,022.01/297,359.91
  6. Step 6: Final answer
    x = 234,487.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.