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Finding the Fourth Proportional to 552,014.80, 827,147.40 and 410,297.20

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Solution

The fourth proportional to 552,014.80, 827,147.40 and 410,297.20 is: 614,795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,014.80 : 827,147.40 = 410,297.20 : x
  2. Step 2: Convert to fraction form
    552,014.80/827,147.40 = 410,297.20/x
  3. Step 3: Cross multiply
    552,014.80x = 827,147.40 × 410,297.20
  4. Step 4: Simplify right side
    552,014.80x = 339,376,262,207.28
  5. Step 5: Solve for x
    x = 339,376,262,207.28/552,014.80
  6. Step 6: Final answer
    x = 614,795.59

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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.