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Finding the Fourth Proportional to 398,924.85, 550,513.66 and 226,842.83

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Solution

The fourth proportional to 398,924.85, 550,513.66 and 226,842.83 is: 313,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,924.85 : 550,513.66 = 226,842.83 : x
  2. Step 2: Convert to fraction form
    398,924.85/550,513.66 = 226,842.83/x
  3. Step 3: Cross multiply
    398,924.85x = 550,513.66 × 226,842.83
  4. Step 4: Simplify right side
    398,924.85x = 124,880,076,588.06
  5. Step 5: Solve for x
    x = 124,880,076,588.06/398,924.85
  6. Step 6: Final answer
    x = 313,041.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.