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Finding the Fourth Proportional to 463,230.29, 693,493.27 and 285,203.09

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Solution

The fourth proportional to 463,230.29, 693,493.27 and 285,203.09 is: 426,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,230.29 : 693,493.27 = 285,203.09 : x
  2. Step 2: Convert to fraction form
    463,230.29/693,493.27 = 285,203.09/x
  3. Step 3: Cross multiply
    463,230.29x = 693,493.27 × 285,203.09
  4. Step 4: Simplify right side
    463,230.29x = 197,786,423,498.20
  5. Step 5: Solve for x
    x = 197,786,423,498.20/463,230.29
  6. Step 6: Final answer
    x = 426,972.13

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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.