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Finding the Fourth Proportional to 541,016.70, 746,468.91 and 349,800

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Solution

The fourth proportional to 541,016.70, 746,468.91 and 349,800 is: 482,637.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,016.70 : 746,468.91 = 349,800 : x
  2. Step 2: Convert to fraction form
    541,016.70/746,468.91 = 349,800/x
  3. Step 3: Cross multiply
    541,016.70x = 746,468.91 × 349,800
  4. Step 4: Simplify right side
    541,016.70x = 261,114,824,718
  5. Step 5: Solve for x
    x = 261,114,824,718/541,016.70
  6. Step 6: Final answer
    x = 482,637.27

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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.