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Finding the Fourth Proportional to 500,299.48, 690,414.42 and 270,859.18

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Solution

The fourth proportional to 500,299.48, 690,414.42 and 270,859.18 is: 373,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,299.48 : 690,414.42 = 270,859.18 : x
  2. Step 2: Convert to fraction form
    500,299.48/690,414.42 = 270,859.18/x
  3. Step 3: Cross multiply
    500,299.48x = 690,414.42 × 270,859.18
  4. Step 4: Simplify right side
    500,299.48x = 187,005,083,661.38
  5. Step 5: Solve for x
    x = 187,005,083,661.38/500,299.48
  6. Step 6: Final answer
    x = 373,786.28

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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.