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Finding the Fourth Proportional to 418,822.92, 628,226.28 and 119,305.44

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Solution

The fourth proportional to 418,822.92, 628,226.28 and 119,305.44 is: 178,955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,822.92 : 628,226.28 = 119,305.44 : x
  2. Step 2: Convert to fraction form
    418,822.92/628,226.28 = 119,305.44/x
  3. Step 3: Cross multiply
    418,822.92x = 628,226.28 × 119,305.44
  4. Step 4: Simplify right side
    418,822.92x = 74,950,812,754.96
  5. Step 5: Solve for x
    x = 74,950,812,754.96/418,822.92
  6. Step 6: Final answer
    x = 178,955.85

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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.