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Finding the Fourth Proportional to 234,190.28, 351,286.29 and 56,697

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Solution

The fourth proportional to 234,190.28, 351,286.29 and 56,697 is: 85,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,190.28 : 351,286.29 = 56,697 : x
  2. Step 2: Convert to fraction form
    234,190.28/351,286.29 = 56,697/x
  3. Step 3: Cross multiply
    234,190.28x = 351,286.29 × 56,697
  4. Step 4: Simplify right side
    234,190.28x = 19,916,878,784.13
  5. Step 5: Solve for x
    x = 19,916,878,784.13/234,190.28
  6. Step 6: Final answer
    x = 85,045.71

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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.