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Finding the Fourth Proportional to 428,786.10, 591,761.16 and 237,861

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Solution

The fourth proportional to 428,786.10, 591,761.16 and 237,861 is: 328,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,786.10 : 591,761.16 = 237,861 : x
  2. Step 2: Convert to fraction form
    428,786.10/591,761.16 = 237,861/x
  3. Step 3: Cross multiply
    428,786.10x = 591,761.16 × 237,861
  4. Step 4: Simplify right side
    428,786.10x = 140,756,901,278.76
  5. Step 5: Solve for x
    x = 140,756,901,278.76/428,786.10
  6. Step 6: Final answer
    x = 328,268.34

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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.