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Finding the Fourth Proportional to 297,273.96, 410,238.36 and 169,952.31

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Solution

The fourth proportional to 297,273.96, 410,238.36 and 169,952.31 is: 234,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,273.96 : 410,238.36 = 169,952.31 : x
  2. Step 2: Convert to fraction form
    297,273.96/410,238.36 = 169,952.31/x
  3. Step 3: Cross multiply
    297,273.96x = 410,238.36 × 169,952.31
  4. Step 4: Simplify right side
    297,273.96x = 69,720,956,932.61
  5. Step 5: Solve for x
    x = 69,720,956,932.61/297,273.96
  6. Step 6: Final answer
    x = 234,534.36

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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.