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Finding the Fourth Proportional to 428,092.48, 590,735.11 and 237,101.77

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Solution

The fourth proportional to 428,092.48, 590,735.11 and 237,101.77 is: 327,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,092.48 : 590,735.11 = 237,101.77 : x
  2. Step 2: Convert to fraction form
    428,092.48/590,735.11 = 237,101.77/x
  3. Step 3: Cross multiply
    428,092.48x = 590,735.11 × 237,101.77
  4. Step 4: Simplify right side
    428,092.48x = 140,064,336,042.96
  5. Step 5: Solve for x
    x = 140,064,336,042.96/428,092.48
  6. Step 6: Final answer
    x = 327,182.43

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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.