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Finding the Fourth Proportional to 264,449.70, 364,849.38 and 169,012.26

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Solution

The fourth proportional to 264,449.70, 364,849.38 and 169,012.26 is: 233,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,449.70 : 364,849.38 = 169,012.26 : x
  2. Step 2: Convert to fraction form
    264,449.70/364,849.38 = 169,012.26/x
  3. Step 3: Cross multiply
    264,449.70x = 364,849.38 × 169,012.26
  4. Step 4: Simplify right side
    264,449.70x = 61,664,018,273.40
  5. Step 5: Solve for x
    x = 61,664,018,273.40/264,449.70
  6. Step 6: Final answer
    x = 233,178.63

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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.