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Finding the Fourth Proportional to 851,356.47, 1,174,879.89 and 469,396.92

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Solution

The fourth proportional to 851,356.47, 1,174,879.89 and 469,396.92 is: 647,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,356.47 : 1,174,879.89 = 469,396.92 : x
  2. Step 2: Convert to fraction form
    851,356.47/1,174,879.89 = 469,396.92/x
  3. Step 3: Cross multiply
    851,356.47x = 1,174,879.89 × 469,396.92
  4. Step 4: Simplify right side
    851,356.47x = 551,485,001,735.94
  5. Step 5: Solve for x
    x = 551,485,001,735.94/851,356.47
  6. Step 6: Final answer
    x = 647,772.14

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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.