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Finding the Fourth Proportional to 377,476.72, 566,215.00 and 137,608.61

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Solution

The fourth proportional to 377,476.72, 566,215.00 and 137,608.61 is: 206,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,476.72 : 566,215.00 = 137,608.61 : x
  2. Step 2: Convert to fraction form
    377,476.72/566,215.00 = 137,608.61/x
  3. Step 3: Cross multiply
    377,476.72x = 566,215.00 × 137,608.61
  4. Step 4: Simplify right side
    377,476.72x = 77,916,055,936.05
  5. Step 5: Solve for x
    x = 77,916,055,936.05/377,476.72
  6. Step 6: Final answer
    x = 206,412.88

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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.