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Finding the Fourth Proportional to 469,418.82, 647,798.12 and 254,558.82

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Solution

The fourth proportional to 469,418.82, 647,798.12 and 254,558.82 is: 351,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,418.82 : 647,798.12 = 254,558.82 : x
  2. Step 2: Convert to fraction form
    469,418.82/647,798.12 = 254,558.82/x
  3. Step 3: Cross multiply
    469,418.82x = 647,798.12 × 254,558.82
  4. Step 4: Simplify right side
    469,418.82x = 164,902,725,025.42
  5. Step 5: Solve for x
    x = 164,902,725,025.42/469,418.82
  6. Step 6: Final answer
    x = 351,291.25

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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.