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Finding the Fourth Proportional to 544,037.51, 816,219.38 and 219,658.64

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Solution

The fourth proportional to 544,037.51, 816,219.38 and 219,658.64 is: 329,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,037.51 : 816,219.38 = 219,658.64 : x
  2. Step 2: Convert to fraction form
    544,037.51/816,219.38 = 219,658.64/x
  3. Step 3: Cross multiply
    544,037.51x = 816,219.38 × 219,658.64
  4. Step 4: Simplify right side
    544,037.51x = 179,289,635,420.49
  5. Step 5: Solve for x
    x = 179,289,635,420.49/544,037.51
  6. Step 6: Final answer
    x = 329,553.81

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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.