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Finding the Fourth Proportional to 273,624.40, 409,745.40 and 179,621.20

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Solution

The fourth proportional to 273,624.40, 409,745.40 and 179,621.20 is: 268,978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,624.40 : 409,745.40 = 179,621.20 : x
  2. Step 2: Convert to fraction form
    273,624.40/409,745.40 = 179,621.20/x
  3. Step 3: Cross multiply
    273,624.40x = 409,745.40 × 179,621.20
  4. Step 4: Simplify right side
    273,624.40x = 73,598,960,442.48
  5. Step 5: Solve for x
    x = 73,598,960,442.48/273,624.40
  6. Step 6: Final answer
    x = 268,978.06

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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.