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Finding the Fourth Proportional to 413,126.64, 618,126.12 and 244,737.36

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Solution

The fourth proportional to 413,126.64, 618,126.12 and 244,737.36 is: 366,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,126.64 : 618,126.12 = 244,737.36 : x
  2. Step 2: Convert to fraction form
    413,126.64/618,126.12 = 244,737.36/x
  3. Step 3: Cross multiply
    413,126.64x = 618,126.12 × 244,737.36
  4. Step 4: Simplify right side
    413,126.64x = 151,278,554,755.84
  5. Step 5: Solve for x
    x = 151,278,554,755.84/413,126.64
  6. Step 6: Final answer
    x = 366,179.62

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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.