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Finding the Fourth Proportional to 457,906.24, 631,910.24 and 256,702.24

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Solution

The fourth proportional to 457,906.24, 631,910.24 and 256,702.24 is: 354,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,906.24 : 631,910.24 = 256,702.24 : x
  2. Step 2: Convert to fraction form
    457,906.24/631,910.24 = 256,702.24/x
  3. Step 3: Cross multiply
    457,906.24x = 631,910.24 × 256,702.24
  4. Step 4: Simplify right side
    457,906.24x = 162,212,774,086.94
  5. Step 5: Solve for x
    x = 162,212,774,086.94/457,906.24
  6. Step 6: Final answer
    x = 354,248.88

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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.