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Finding the Fourth Proportional to 771,010.80, 1,155,997.80 and 411,241.20

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Solution

The fourth proportional to 771,010.80, 1,155,997.80 and 411,241.20 is: 616,585.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,010.80 : 1,155,997.80 = 411,241.20 : x
  2. Step 2: Convert to fraction form
    771,010.80/1,155,997.80 = 411,241.20/x
  3. Step 3: Cross multiply
    771,010.80x = 1,155,997.80 × 411,241.20
  4. Step 4: Simplify right side
    771,010.80x = 475,393,922,469.36
  5. Step 5: Solve for x
    x = 475,393,922,469.36/771,010.80
  6. Step 6: Final answer
    x = 616,585.30

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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.