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Finding the Fourth Proportional to 428,204.86, 590,879.64 and 237,182.56

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Solution

The fourth proportional to 428,204.86, 590,879.64 and 237,182.56 is: 327,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,204.86 : 590,879.64 = 237,182.56 : x
  2. Step 2: Convert to fraction form
    428,204.86/590,879.64 = 237,182.56/x
  3. Step 3: Cross multiply
    428,204.86x = 590,879.64 × 237,182.56
  4. Step 4: Simplify right side
    428,204.86x = 140,146,345,079.31
  5. Step 5: Solve for x
    x = 140,146,345,079.31/428,204.86
  6. Step 6: Final answer
    x = 327,288.08

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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.