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Finding the Fourth Proportional to 299,665.16, 413,536.66 and 165,529.16

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Solution

The fourth proportional to 299,665.16, 413,536.66 and 165,529.16 is: 228,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,665.16 : 413,536.66 = 165,529.16 : x
  2. Step 2: Convert to fraction form
    299,665.16/413,536.66 = 165,529.16/x
  3. Step 3: Cross multiply
    299,665.16x = 413,536.66 × 165,529.16
  4. Step 4: Simplify right side
    299,665.16x = 68,452,375,959.01
  5. Step 5: Solve for x
    x = 68,452,375,959.01/299,665.16
  6. Step 6: Final answer
    x = 228,429.54

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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.