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Finding the Fourth Proportional to 510,975.90, 766,791.90 and 342,686.25

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Solution

The fourth proportional to 510,975.90, 766,791.90 and 342,686.25 is: 514,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,975.90 : 766,791.90 = 342,686.25 : x
  2. Step 2: Convert to fraction form
    510,975.90/766,791.90 = 342,686.25/x
  3. Step 3: Cross multiply
    510,975.90x = 766,791.90 × 342,686.25
  4. Step 4: Simplify right side
    510,975.90x = 262,769,043,943.43
  5. Step 5: Solve for x
    x = 262,769,043,943.43/510,975.90
  6. Step 6: Final answer
    x = 514,249.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.