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Finding the Fourth Proportional to 403,822.30, 605,624.10 and 119,512.30

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Solution

The fourth proportional to 403,822.30, 605,624.10 and 119,512.30 is: 179,236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,822.30 : 605,624.10 = 119,512.30 : x
  2. Step 2: Convert to fraction form
    403,822.30/605,624.10 = 119,512.30/x
  3. Step 3: Cross multiply
    403,822.30x = 605,624.10 × 119,512.30
  4. Step 4: Simplify right side
    403,822.30x = 72,379,529,126.43
  5. Step 5: Solve for x
    x = 72,379,529,126.43/403,822.30
  6. Step 6: Final answer
    x = 179,236.09

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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.