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Finding the Fourth Proportional to 984,192, 1,476,138.24 and 274,145.28

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Solution

The fourth proportional to 984,192, 1,476,138.24 and 274,145.28 is: 411,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,192 : 1,476,138.24 = 274,145.28 : x
  2. Step 2: Convert to fraction form
    984,192/1,476,138.24 = 274,145.28/x
  3. Step 3: Cross multiply
    984,192x = 1,476,138.24 × 274,145.28
  4. Step 4: Simplify right side
    984,192x = 404,676,331,123.51
  5. Step 5: Solve for x
    x = 404,676,331,123.51/984,192
  6. Step 6: Final answer
    x = 411,176.20

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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.