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Finding the Fourth Proportional to 361,846.98, 499,021.93 and 225,893.50

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Solution

The fourth proportional to 361,846.98, 499,021.93 and 225,893.50 is: 311,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,846.98 : 499,021.93 = 225,893.50 : x
  2. Step 2: Convert to fraction form
    361,846.98/499,021.93 = 225,893.50/x
  3. Step 3: Cross multiply
    361,846.98x = 499,021.93 × 225,893.50
  4. Step 4: Simplify right side
    361,846.98x = 112,725,810,344.46
  5. Step 5: Solve for x
    x = 112,725,810,344.46/361,846.98
  6. Step 6: Final answer
    x = 311,528.95

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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.