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Finding the Fourth Proportional to 414,390.48, 621,524.13 and 114,839.82

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Solution

The fourth proportional to 414,390.48, 621,524.13 and 114,839.82 is: 172,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,390.48 : 621,524.13 = 114,839.82 : x
  2. Step 2: Convert to fraction form
    414,390.48/621,524.13 = 114,839.82/x
  3. Step 3: Cross multiply
    414,390.48x = 621,524.13 × 114,839.82
  4. Step 4: Simplify right side
    414,390.48x = 71,375,718,784.21
  5. Step 5: Solve for x
    x = 71,375,718,784.21/414,390.48
  6. Step 6: Final answer
    x = 172,242.66

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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.