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Finding the Fourth Proportional to 463,284.83, 694,764.44 and 138,976.22

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Solution

The fourth proportional to 463,284.83, 694,764.44 and 138,976.22 is: 208,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,284.83 : 694,764.44 = 138,976.22 : x
  2. Step 2: Convert to fraction form
    463,284.83/694,764.44 = 138,976.22/x
  3. Step 3: Cross multiply
    463,284.83x = 694,764.44 × 138,976.22
  4. Step 4: Simplify right side
    463,284.83x = 96,555,736,703.65
  5. Step 5: Solve for x
    x = 96,555,736,703.65/463,284.83
  6. Step 6: Final answer
    x = 208,415.49

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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.