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Finding the Fourth Proportional to 392,714.10, 541,948.05 and 222,951.06

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Solution

The fourth proportional to 392,714.10, 541,948.05 and 222,951.06 is: 307,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,714.10 : 541,948.05 = 222,951.06 : x
  2. Step 2: Convert to fraction form
    392,714.10/541,948.05 = 222,951.06/x
  3. Step 3: Cross multiply
    392,714.10x = 541,948.05 × 222,951.06
  4. Step 4: Simplify right side
    392,714.10x = 120,827,892,212.43
  5. Step 5: Solve for x
    x = 120,827,892,212.43/392,714.10
  6. Step 6: Final answer
    x = 307,673.93

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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.