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Finding the Fourth Proportional to 428,077.24, 590,751.30 and 237,093.64

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Solution

The fourth proportional to 428,077.24, 590,751.30 and 237,093.64 is: 327,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,077.24 : 590,751.30 = 237,093.64 : x
  2. Step 2: Convert to fraction form
    428,077.24/590,751.30 = 237,093.64/x
  3. Step 3: Cross multiply
    428,077.24x = 590,751.30 × 237,093.64
  4. Step 4: Simplify right side
    428,077.24x = 140,063,376,051.73
  5. Step 5: Solve for x
    x = 140,063,376,051.73/428,077.24
  6. Step 6: Final answer
    x = 327,191.83

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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.