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Finding the Fourth Proportional to 469,558.44, 647,973.14 and 254,691.36

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Solution

The fourth proportional to 469,558.44, 647,973.14 and 254,691.36 is: 351,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,558.44 : 647,973.14 = 254,691.36 : x
  2. Step 2: Convert to fraction form
    469,558.44/647,973.14 = 254,691.36/x
  3. Step 3: Cross multiply
    469,558.44x = 647,973.14 × 254,691.36
  4. Step 4: Simplify right side
    469,558.44x = 165,033,158,996.61
  5. Step 5: Solve for x
    x = 165,033,158,996.61/469,558.44
  6. Step 6: Final answer
    x = 351,464.58

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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.