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Finding the Fourth Proportional to 428,175.19, 590,882.22 and 231,942.12

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Solution

The fourth proportional to 428,175.19, 590,882.22 and 231,942.12 is: 320,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,175.19 : 590,882.22 = 231,942.12 : x
  2. Step 2: Convert to fraction form
    428,175.19/590,882.22 = 231,942.12/x
  3. Step 3: Cross multiply
    428,175.19x = 590,882.22 × 231,942.12
  4. Step 4: Simplify right side
    428,175.19x = 137,050,475,674.46
  5. Step 5: Solve for x
    x = 137,050,475,674.46/428,175.19
  6. Step 6: Final answer
    x = 320,080.38

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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.