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Finding the Fourth Proportional to 851,198.44, 1,174,641 and 469,216.96

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Solution

The fourth proportional to 851,198.44, 1,174,641 and 469,216.96 is: 647,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,198.44 : 1,174,641 = 469,216.96 : x
  2. Step 2: Convert to fraction form
    851,198.44/1,174,641 = 469,216.96/x
  3. Step 3: Cross multiply
    851,198.44x = 1,174,641 × 469,216.96
  4. Step 4: Simplify right side
    851,198.44x = 551,161,479,111.36
  5. Step 5: Solve for x
    x = 551,161,479,111.36/851,198.44
  6. Step 6: Final answer
    x = 647,512.32

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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.