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Finding the Fourth Proportional to 457,627.44, 631,151.44 and 322,110

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Solution

The fourth proportional to 457,627.44, 631,151.44 and 322,110 is: 444,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,627.44 : 631,151.44 = 322,110 : x
  2. Step 2: Convert to fraction form
    457,627.44/631,151.44 = 322,110/x
  3. Step 3: Cross multiply
    457,627.44x = 631,151.44 × 322,110
  4. Step 4: Simplify right side
    457,627.44x = 203,300,190,338.40
  5. Step 5: Solve for x
    x = 203,300,190,338.40/457,627.44
  6. Step 6: Final answer
    x = 444,248.25

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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.