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Finding the Fourth Proportional to 457,910.41, 631,954.20 and 254,027.11

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Solution

The fourth proportional to 457,910.41, 631,954.20 and 254,027.11 is: 350,578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,910.41 : 631,954.20 = 254,027.11 : x
  2. Step 2: Convert to fraction form
    457,910.41/631,954.20 = 254,027.11/x
  3. Step 3: Cross multiply
    457,910.41x = 631,954.20 × 254,027.11
  4. Step 4: Simplify right side
    457,910.41x = 160,533,499,078.36
  5. Step 5: Solve for x
    x = 160,533,499,078.36/457,910.41
  6. Step 6: Final answer
    x = 350,578.40

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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.