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Finding the Fourth Proportional to 643,461.93, 887,947.86 and 353,067.12

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Solution

The fourth proportional to 643,461.93, 887,947.86 and 353,067.12 is: 487,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,461.93 : 887,947.86 = 353,067.12 : x
  2. Step 2: Convert to fraction form
    643,461.93/887,947.86 = 353,067.12/x
  3. Step 3: Cross multiply
    643,461.93x = 887,947.86 × 353,067.12
  4. Step 4: Simplify right side
    643,461.93x = 313,505,193,640.36
  5. Step 5: Solve for x
    x = 313,505,193,640.36/643,461.93
  6. Step 6: Final answer
    x = 487,216.38

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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.