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Finding the Fourth Proportional to 310,174.12, 428,080.26 and 189,289.72

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Solution

The fourth proportional to 310,174.12, 428,080.26 and 189,289.72 is: 261,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,174.12 : 428,080.26 = 189,289.72 : x
  2. Step 2: Convert to fraction form
    310,174.12/428,080.26 = 189,289.72/x
  3. Step 3: Cross multiply
    310,174.12x = 428,080.26 × 189,289.72
  4. Step 4: Simplify right side
    310,174.12x = 81,031,192,552.93
  5. Step 5: Solve for x
    x = 81,031,192,552.93/310,174.12
  6. Step 6: Final answer
    x = 261,244.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.