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Finding the Fourth Proportional to 515,891, 712,212.06 and 361,080.56

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Solution

The fourth proportional to 515,891, 712,212.06 and 361,080.56 is: 498,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,891 : 712,212.06 = 361,080.56 : x
  2. Step 2: Convert to fraction form
    515,891/712,212.06 = 361,080.56/x
  3. Step 3: Cross multiply
    515,891x = 712,212.06 × 361,080.56
  4. Step 4: Simplify right side
    515,891x = 257,165,929,463.55
  5. Step 5: Solve for x
    x = 257,165,929,463.55/515,891
  6. Step 6: Final answer
    x = 498,488.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.