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Finding the Fourth Proportional to 427,730.75, 590,399.84 and 246,563.78

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Solution

The fourth proportional to 427,730.75, 590,399.84 and 246,563.78 is: 340,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,730.75 : 590,399.84 = 246,563.78 : x
  2. Step 2: Convert to fraction form
    427,730.75/590,399.84 = 246,563.78/x
  3. Step 3: Cross multiply
    427,730.75x = 590,399.84 × 246,563.78
  4. Step 4: Simplify right side
    427,730.75x = 145,571,215,028.98
  5. Step 5: Solve for x
    x = 145,571,215,028.98/427,730.75
  6. Step 6: Final answer
    x = 340,333.77

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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.