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Finding the Fourth Proportional to 317,714.00, 476,680.34 and 199,246.64

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Solution

The fourth proportional to 317,714.00, 476,680.34 and 199,246.64 is: 298,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,714.00 : 476,680.34 = 199,246.64 : x
  2. Step 2: Convert to fraction form
    317,714.00/476,680.34 = 199,246.64/x
  3. Step 3: Cross multiply
    317,714.00x = 476,680.34 × 199,246.64
  4. Step 4: Simplify right side
    317,714.00x = 94,976,954,213.77
  5. Step 5: Solve for x
    x = 94,976,954,213.77/317,714.00
  6. Step 6: Final answer
    x = 298,938.53

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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.