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Finding the Fourth Proportional to 463,874.85, 640,455.66 and 356,252.58

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Solution

The fourth proportional to 463,874.85, 640,455.66 and 356,252.58 is: 491,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,874.85 : 640,455.66 = 356,252.58 : x
  2. Step 2: Convert to fraction form
    463,874.85/640,455.66 = 356,252.58/x
  3. Step 3: Cross multiply
    463,874.85x = 640,455.66 × 356,252.58
  4. Step 4: Simplify right side
    463,874.85x = 228,163,981,250.60
  5. Step 5: Solve for x
    x = 228,163,981,250.60/463,874.85
  6. Step 6: Final answer
    x = 491,865.38

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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.