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Finding the Fourth Proportional to 469,418.97, 647,798.52 and 254,558.98

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Solution

The fourth proportional to 469,418.97, 647,798.52 and 254,558.98 is: 351,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,418.97 : 647,798.52 = 254,558.98 : x
  2. Step 2: Convert to fraction form
    469,418.97/647,798.52 = 254,558.98/x
  3. Step 3: Cross multiply
    469,418.97x = 647,798.52 × 254,558.98
  4. Step 4: Simplify right side
    469,418.97x = 164,902,930,496.71
  5. Step 5: Solve for x
    x = 164,902,930,496.71/469,418.97
  6. Step 6: Final answer
    x = 351,291.58

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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.