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Finding the Fourth Proportional to 234,274.56, 351,408.78 and 56,783.10

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Solution

The fourth proportional to 234,274.56, 351,408.78 and 56,783.10 is: 85,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,274.56 : 351,408.78 = 56,783.10 : x
  2. Step 2: Convert to fraction form
    234,274.56/351,408.78 = 56,783.10/x
  3. Step 3: Cross multiply
    234,274.56x = 351,408.78 × 56,783.10
  4. Step 4: Simplify right side
    234,274.56x = 19,954,079,895.62
  5. Step 5: Solve for x
    x = 19,954,079,895.62/234,274.56
  6. Step 6: Final answer
    x = 85,173.91

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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.