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Finding the Fourth Proportional to 289,930.38, 400,105.35 and 162,612.78

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Solution

The fourth proportional to 289,930.38, 400,105.35 and 162,612.78 is: 224,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,930.38 : 400,105.35 = 162,612.78 : x
  2. Step 2: Convert to fraction form
    289,930.38/400,105.35 = 162,612.78/x
  3. Step 3: Cross multiply
    289,930.38x = 400,105.35 × 162,612.78
  4. Step 4: Simplify right side
    289,930.38x = 65,062,243,256.37
  5. Step 5: Solve for x
    x = 65,062,243,256.37/289,930.38
  6. Step 6: Final answer
    x = 224,406.44

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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.