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Finding the Fourth Proportional to 428,046.85, 590,704.41 and 237,060.06

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Solution

The fourth proportional to 428,046.85, 590,704.41 and 237,060.06 is: 327,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,046.85 : 590,704.41 = 237,060.06 : x
  2. Step 2: Convert to fraction form
    428,046.85/590,704.41 = 237,060.06/x
  3. Step 3: Cross multiply
    428,046.85x = 590,704.41 × 237,060.06
  4. Step 4: Simplify right side
    428,046.85x = 140,032,422,876.87
  5. Step 5: Solve for x
    x = 140,032,422,876.87/428,046.85
  6. Step 6: Final answer
    x = 327,142.75

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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.