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Finding the Fourth Proportional to 499,846.97, 689,771.66 and 285,056.17

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Solution

The fourth proportional to 499,846.97, 689,771.66 and 285,056.17 is: 393,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,846.97 : 689,771.66 = 285,056.17 : x
  2. Step 2: Convert to fraction form
    499,846.97/689,771.66 = 285,056.17/x
  3. Step 3: Cross multiply
    499,846.97x = 689,771.66 × 285,056.17
  4. Step 4: Simplify right side
    499,846.97x = 196,623,664,424.43
  5. Step 5: Solve for x
    x = 196,623,664,424.43/499,846.97
  6. Step 6: Final answer
    x = 393,367.72

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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.