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Finding the Fourth Proportional to 273,287.84, 409,885.16 and 73,563.71

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Solution

The fourth proportional to 273,287.84, 409,885.16 and 73,563.71 is: 110,333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,287.84 : 409,885.16 = 73,563.71 : x
  2. Step 2: Convert to fraction form
    273,287.84/409,885.16 = 73,563.71/x
  3. Step 3: Cross multiply
    273,287.84x = 409,885.16 × 73,563.71
  4. Step 4: Simplify right side
    273,287.84x = 30,152,670,626.30
  5. Step 5: Solve for x
    x = 30,152,670,626.30/273,287.84
  6. Step 6: Final answer
    x = 110,333.01

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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.