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Finding the Fourth Proportional to 853,707.87, 1,178,338.19 and 491,168.88

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Solution

The fourth proportional to 853,707.87, 1,178,338.19 and 491,168.88 is: 677,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,707.87 : 1,178,338.19 = 491,168.88 : x
  2. Step 2: Convert to fraction form
    853,707.87/1,178,338.19 = 491,168.88/x
  3. Step 3: Cross multiply
    853,707.87x = 1,178,338.19 × 491,168.88
  4. Step 4: Simplify right side
    853,707.87x = 578,763,046,587.68
  5. Step 5: Solve for x
    x = 578,763,046,587.68/853,707.87
  6. Step 6: Final answer
    x = 677,940.39

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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.