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Finding the Fourth Proportional to 371,497.38, 512,672.76 and 201,731.50

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Solution

The fourth proportional to 371,497.38, 512,672.76 and 201,731.50 is: 278,392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,497.38 : 512,672.76 = 201,731.50 : x
  2. Step 2: Convert to fraction form
    371,497.38/512,672.76 = 201,731.50/x
  3. Step 3: Cross multiply
    371,497.38x = 512,672.76 × 201,731.50
  4. Step 4: Simplify right side
    371,497.38x = 103,422,244,883.94
  5. Step 5: Solve for x
    x = 103,422,244,883.94/371,497.38
  6. Step 6: Final answer
    x = 278,392.93

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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.