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Finding the Fourth Proportional to 375,891.22, 563,776.80 and 109,589.46

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Solution

The fourth proportional to 375,891.22, 563,776.80 and 109,589.46 is: 164,366.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,891.22 : 563,776.80 = 109,589.46 : x
  2. Step 2: Convert to fraction form
    375,891.22/563,776.80 = 109,589.46/x
  3. Step 3: Cross multiply
    375,891.22x = 563,776.80 × 109,589.46
  4. Step 4: Simplify right side
    375,891.22x = 61,783,995,072.53
  5. Step 5: Solve for x
    x = 61,783,995,072.53/375,891.22
  6. Step 6: Final answer
    x = 164,366.69

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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.