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Finding the Fourth Proportional to 299,369.74, 449,283.04 and 110,009.56

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Solution

The fourth proportional to 299,369.74, 449,283.04 and 110,009.56 is: 165,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,369.74 : 449,283.04 = 110,009.56 : x
  2. Step 2: Convert to fraction form
    299,369.74/449,283.04 = 110,009.56/x
  3. Step 3: Cross multiply
    299,369.74x = 449,283.04 × 110,009.56
  4. Step 4: Simplify right side
    299,369.74x = 49,425,429,545.86
  5. Step 5: Solve for x
    x = 49,425,429,545.86/299,369.74
  6. Step 6: Final answer
    x = 165,098.28

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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.