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Finding the Fourth Proportional to 419,037.14, 578,170.38 and 246,961.94

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Solution

The fourth proportional to 419,037.14, 578,170.38 and 246,961.94 is: 340,748.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,037.14 : 578,170.38 = 246,961.94 : x
  2. Step 2: Convert to fraction form
    419,037.14/578,170.38 = 246,961.94/x
  3. Step 3: Cross multiply
    419,037.14x = 578,170.38 × 246,961.94
  4. Step 4: Simplify right side
    419,037.14x = 142,786,078,695.34
  5. Step 5: Solve for x
    x = 142,786,078,695.34/419,037.14
  6. Step 6: Final answer
    x = 340,748.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.