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Finding the Fourth Proportional to 457,922.92, 631,924.22 and 253,940.94

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Solution

The fourth proportional to 457,922.92, 631,924.22 and 253,940.94 is: 350,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,922.92 : 631,924.22 = 253,940.94 : x
  2. Step 2: Convert to fraction form
    457,922.92/631,924.22 = 253,940.94/x
  3. Step 3: Cross multiply
    457,922.92x = 631,924.22 × 253,940.94
  4. Step 4: Simplify right side
    457,922.92x = 160,471,430,435.57
  5. Step 5: Solve for x
    x = 160,471,430,435.57/457,922.92
  6. Step 6: Final answer
    x = 350,433.28

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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.