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Finding the Fourth Proportional to 463,569.83, 694,108.90 and 294,173

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Solution

The fourth proportional to 463,569.83, 694,108.90 and 294,173 is: 440,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,569.83 : 694,108.90 = 294,173 : x
  2. Step 2: Convert to fraction form
    463,569.83/694,108.90 = 294,173/x
  3. Step 3: Cross multiply
    463,569.83x = 694,108.90 × 294,173
  4. Step 4: Simplify right side
    463,569.83x = 204,188,097,439.70
  5. Step 5: Solve for x
    x = 204,188,097,439.70/463,569.83
  6. Step 6: Final answer
    x = 440,468.91

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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.