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Finding the Fourth Proportional to 407,167.84, 561,892.27 and 225,879.76

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Solution

The fourth proportional to 407,167.84, 561,892.27 and 225,879.76 is: 311,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,167.84 : 561,892.27 = 225,879.76 : x
  2. Step 2: Convert to fraction form
    407,167.84/561,892.27 = 225,879.76/x
  3. Step 3: Cross multiply
    407,167.84x = 561,892.27 × 225,879.76
  4. Step 4: Simplify right side
    407,167.84x = 126,920,094,029.07
  5. Step 5: Solve for x
    x = 126,920,094,029.07/407,167.84
  6. Step 6: Final answer
    x = 311,714.44

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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.