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Finding the Fourth Proportional to 468,976.97, 647,221.06 and 265,046.74

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Solution

The fourth proportional to 468,976.97, 647,221.06 and 265,046.74 is: 365,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,976.97 : 647,221.06 = 265,046.74 : x
  2. Step 2: Convert to fraction form
    468,976.97/647,221.06 = 265,046.74/x
  3. Step 3: Cross multiply
    468,976.97x = 647,221.06 × 265,046.74
  4. Step 4: Simplify right side
    468,976.97x = 171,543,832,012.34
  5. Step 5: Solve for x
    x = 171,543,832,012.34/468,976.97
  6. Step 6: Final answer
    x = 365,783.06

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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.