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Finding the Fourth Proportional to 409,297.88, 614,083.46 and 181,562.08

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Solution

The fourth proportional to 409,297.88, 614,083.46 and 181,562.08 is: 272,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,297.88 : 614,083.46 = 181,562.08 : x
  2. Step 2: Convert to fraction form
    409,297.88/614,083.46 = 181,562.08/x
  3. Step 3: Cross multiply
    409,297.88x = 614,083.46 × 181,562.08
  4. Step 4: Simplify right side
    409,297.88x = 111,494,270,291.20
  5. Step 5: Solve for x
    x = 111,494,270,291.20/409,297.88
  6. Step 6: Final answer
    x = 272,403.73

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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.