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Finding the Fourth Proportional to 469,058.85, 647,301.76 and 254,198.90

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Solution

The fourth proportional to 469,058.85, 647,301.76 and 254,198.90 is: 350,794.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,058.85 : 647,301.76 = 254,198.90 : x
  2. Step 2: Convert to fraction form
    469,058.85/647,301.76 = 254,198.90/x
  3. Step 3: Cross multiply
    469,058.85x = 647,301.76 × 254,198.90
  4. Step 4: Simplify right side
    469,058.85x = 164,543,395,360.06
  5. Step 5: Solve for x
    x = 164,543,395,360.06/469,058.85
  6. Step 6: Final answer
    x = 350,794.78

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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.