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Finding the Fourth Proportional to 469,796.36, 648,320.74 and 254,936.47

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Solution

The fourth proportional to 469,796.36, 648,320.74 and 254,936.47 is: 351,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,796.36 : 648,320.74 = 254,936.47 : x
  2. Step 2: Convert to fraction form
    469,796.36/648,320.74 = 254,936.47/x
  3. Step 3: Cross multiply
    469,796.36x = 648,320.74 × 254,936.47
  4. Step 4: Simplify right side
    469,796.36x = 165,280,598,625.25
  5. Step 5: Solve for x
    x = 165,280,598,625.25/469,796.36
  6. Step 6: Final answer
    x = 351,813.28

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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.