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Finding the Fourth Proportional to 437,431, 656,146.91 and 121,896.31

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Solution

The fourth proportional to 437,431, 656,146.91 and 121,896.31 is: 182,844.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,431 : 656,146.91 = 121,896.31 : x
  2. Step 2: Convert to fraction form
    437,431/656,146.91 = 121,896.31/x
  3. Step 3: Cross multiply
    437,431x = 656,146.91 × 121,896.31
  4. Step 4: Simplify right side
    437,431x = 79,981,887,146.90
  5. Step 5: Solve for x
    x = 79,981,887,146.90/437,431
  6. Step 6: Final answer
    x = 182,844.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.