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Finding the Fourth Proportional to 309,992.24, 465,192.48 and 169,849.28

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Solution

The fourth proportional to 309,992.24, 465,192.48 and 169,849.28 is: 254,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,992.24 : 465,192.48 = 169,849.28 : x
  2. Step 2: Convert to fraction form
    309,992.24/465,192.48 = 169,849.28/x
  3. Step 3: Cross multiply
    309,992.24x = 465,192.48 × 169,849.28
  4. Step 4: Simplify right side
    309,992.24x = 79,012,607,789.41
  5. Step 5: Solve for x
    x = 79,012,607,789.41/309,992.24
  6. Step 6: Final answer
    x = 254,885.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.