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Finding the Fourth Proportional to 428,493.92, 591,356.48 and 237,563.84

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Solution

The fourth proportional to 428,493.92, 591,356.48 and 237,563.84 is: 327,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,493.92 : 591,356.48 = 237,563.84 : x
  2. Step 2: Convert to fraction form
    428,493.92/591,356.48 = 237,563.84/x
  3. Step 3: Cross multiply
    428,493.92x = 591,356.48 × 237,563.84
  4. Step 4: Simplify right side
    428,493.92x = 140,484,916,197.68
  5. Step 5: Solve for x
    x = 140,484,916,197.68/428,493.92
  6. Step 6: Final answer
    x = 327,857.43

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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.