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Finding the Fourth Proportional to 314,366.22, 471,284.82 and 136,739.44

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Solution

The fourth proportional to 314,366.22, 471,284.82 and 136,739.44 is: 204,994.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,366.22 : 471,284.82 = 136,739.44 : x
  2. Step 2: Convert to fraction form
    314,366.22/471,284.82 = 136,739.44/x
  3. Step 3: Cross multiply
    314,366.22x = 471,284.82 × 136,739.44
  4. Step 4: Simplify right side
    314,366.22x = 64,443,222,367.30
  5. Step 5: Solve for x
    x = 64,443,222,367.30/314,366.22
  6. Step 6: Final answer
    x = 204,994.11

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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.