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Finding the Fourth Proportional to 463,930.20, 640,213.24 and 270,325.82

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Solution

The fourth proportional to 463,930.20, 640,213.24 and 270,325.82 is: 373,043.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,930.20 : 640,213.24 = 270,325.82 : x
  2. Step 2: Convert to fraction form
    463,930.20/640,213.24 = 270,325.82/x
  3. Step 3: Cross multiply
    463,930.20x = 640,213.24 × 270,325.82
  4. Step 4: Simplify right side
    463,930.20x = 173,066,169,077.86
  5. Step 5: Solve for x
    x = 173,066,169,077.86/463,930.20
  6. Step 6: Final answer
    x = 373,043.55

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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.