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Finding the Fourth Proportional to 469,064.88, 647,310.11 and 254,204.96

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Solution

The fourth proportional to 469,064.88, 647,310.11 and 254,204.96 is: 350,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,064.88 : 647,310.11 = 254,204.96 : x
  2. Step 2: Convert to fraction form
    469,064.88/647,310.11 = 254,204.96/x
  3. Step 3: Cross multiply
    469,064.88x = 647,310.11 × 254,204.96
  4. Step 4: Simplify right side
    469,064.88x = 164,549,436,112.57
  5. Step 5: Solve for x
    x = 164,549,436,112.57/469,064.88
  6. Step 6: Final answer
    x = 350,803.15

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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.