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Finding the Fourth Proportional to 376,471.05, 564,665.25 and 110,234.16

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Solution

The fourth proportional to 376,471.05, 564,665.25 and 110,234.16 is: 165,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,471.05 : 564,665.25 = 110,234.16 : x
  2. Step 2: Convert to fraction form
    376,471.05/564,665.25 = 110,234.16/x
  3. Step 3: Cross multiply
    376,471.05x = 564,665.25 × 110,234.16
  4. Step 4: Simplify right side
    376,471.05x = 62,245,399,514.94
  5. Step 5: Solve for x
    x = 62,245,399,514.94/376,471.05
  6. Step 6: Final answer
    x = 165,339.14

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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.