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Finding the Fourth Proportional to 551,464.44, 827,608.40 and 409,637.20

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Solution

The fourth proportional to 551,464.44, 827,608.40 and 409,637.20 is: 614,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,464.44 : 827,608.40 = 409,637.20 : x
  2. Step 2: Convert to fraction form
    551,464.44/827,608.40 = 409,637.20/x
  3. Step 3: Cross multiply
    551,464.44x = 827,608.40 × 409,637.20
  4. Step 4: Simplify right side
    551,464.44x = 339,019,187,672.48
  5. Step 5: Solve for x
    x = 339,019,187,672.48/551,464.44
  6. Step 6: Final answer
    x = 614,761.65

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Why These Related Problems?

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