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Finding the Fourth Proportional to 338,714.79, 467,405.42 and 187,811.79

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Solution

The fourth proportional to 338,714.79, 467,405.42 and 187,811.79 is: 259,168.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,714.79 : 467,405.42 = 187,811.79 : x
  2. Step 2: Convert to fraction form
    338,714.79/467,405.42 = 187,811.79/x
  3. Step 3: Cross multiply
    338,714.79x = 467,405.42 × 187,811.79
  4. Step 4: Simplify right side
    338,714.79x = 87,784,247,646.84
  5. Step 5: Solve for x
    x = 87,784,247,646.84/338,714.79
  6. Step 6: Final answer
    x = 259,168.63

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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.