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Finding the Fourth Proportional to 422,446.51, 582,963.64 and 241,153.93

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Solution

The fourth proportional to 422,446.51, 582,963.64 and 241,153.93 is: 332,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,446.51 : 582,963.64 = 241,153.93 : x
  2. Step 2: Convert to fraction form
    422,446.51/582,963.64 = 241,153.93/x
  3. Step 3: Cross multiply
    422,446.51x = 582,963.64 × 241,153.93
  4. Step 4: Simplify right side
    422,446.51x = 140,583,972,833.11
  5. Step 5: Solve for x
    x = 140,583,972,833.11/422,446.51
  6. Step 6: Final answer
    x = 332,785.26

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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.