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Finding the Fourth Proportional to 317,708.37, 476,671.91 and 199,241.01

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Solution

The fourth proportional to 317,708.37, 476,671.91 and 199,241.01 is: 298,930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,708.37 : 476,671.91 = 199,241.01 : x
  2. Step 2: Convert to fraction form
    317,708.37/476,671.91 = 199,241.01/x
  3. Step 3: Cross multiply
    317,708.37x = 476,671.91 × 199,241.01
  4. Step 4: Simplify right side
    317,708.37x = 94,972,591,790.82
  5. Step 5: Solve for x
    x = 94,972,591,790.82/317,708.37
  6. Step 6: Final answer
    x = 298,930.09

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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.