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Finding the Fourth Proportional to 414,029.66, 621,044.44 and 133,546.91

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Solution

The fourth proportional to 414,029.66, 621,044.44 and 133,546.91 is: 200,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,029.66 : 621,044.44 = 133,546.91 : x
  2. Step 2: Convert to fraction form
    414,029.66/621,044.44 = 133,546.91/x
  3. Step 3: Cross multiply
    414,029.66x = 621,044.44 × 133,546.91
  4. Step 4: Simplify right side
    414,029.66x = 82,938,565,934.68
  5. Step 5: Solve for x
    x = 82,938,565,934.68/414,029.66
  6. Step 6: Final answer
    x = 200,320.35

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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.