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Finding the Fourth Proportional to 410,216.78, 615,296 and 110,714.42

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Solution

The fourth proportional to 410,216.78, 615,296 and 110,714.42 is: 166,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,216.78 : 615,296 = 110,714.42 : x
  2. Step 2: Convert to fraction form
    410,216.78/615,296 = 110,714.42/x
  3. Step 3: Cross multiply
    410,216.78x = 615,296 × 110,714.42
  4. Step 4: Simplify right side
    410,216.78x = 68,122,139,768.32
  5. Step 5: Solve for x
    x = 68,122,139,768.32/410,216.78
  6. Step 6: Final answer
    x = 166,063.76

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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.