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Finding the Fourth Proportional to 376,633.26, 564,949.89 and 140,035.50

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Solution

The fourth proportional to 376,633.26, 564,949.89 and 140,035.50 is: 210,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,633.26 : 564,949.89 = 140,035.50 : x
  2. Step 2: Convert to fraction form
    376,633.26/564,949.89 = 140,035.50/x
  3. Step 3: Cross multiply
    376,633.26x = 564,949.89 × 140,035.50
  4. Step 4: Simplify right side
    376,633.26x = 79,113,040,321.10
  5. Step 5: Solve for x
    x = 79,113,040,321.10/376,633.26
  6. Step 6: Final answer
    x = 210,053.25

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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.