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Finding the Fourth Proportional to 407,959.44, 562,971.84 and 224,198.64

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Solution

The fourth proportional to 407,959.44, 562,971.84 and 224,198.64 is: 309,387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,959.44 : 562,971.84 = 224,198.64 : x
  2. Step 2: Convert to fraction form
    407,959.44/562,971.84 = 224,198.64/x
  3. Step 3: Cross multiply
    407,959.44x = 562,971.84 × 224,198.64
  4. Step 4: Simplify right side
    407,959.44x = 126,217,520,886.30
  5. Step 5: Solve for x
    x = 126,217,520,886.30/407,959.44
  6. Step 6: Final answer
    x = 309,387.43

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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.