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Finding the Fourth Proportional to 344,227.84, 475,037.76 and 199,022.72

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Solution

The fourth proportional to 344,227.84, 475,037.76 and 199,022.72 is: 274,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,227.84 : 475,037.76 = 199,022.72 : x
  2. Step 2: Convert to fraction form
    344,227.84/475,037.76 = 199,022.72/x
  3. Step 3: Cross multiply
    344,227.84x = 475,037.76 × 199,022.72
  4. Step 4: Simplify right side
    344,227.84x = 94,543,307,097.91
  5. Step 5: Solve for x
    x = 94,543,307,097.91/344,227.84
  6. Step 6: Final answer
    x = 274,653.29

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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.