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Finding the Fourth Proportional to 317,218.08, 437,844.24 and 189,993.12

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Solution

The fourth proportional to 317,218.08, 437,844.24 and 189,993.12 is: 262,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,218.08 : 437,844.24 = 189,993.12 : x
  2. Step 2: Convert to fraction form
    317,218.08/437,844.24 = 189,993.12/x
  3. Step 3: Cross multiply
    317,218.08x = 437,844.24 × 189,993.12
  4. Step 4: Simplify right side
    317,218.08x = 83,187,393,231.63
  5. Step 5: Solve for x
    x = 83,187,393,231.63/317,218.08
  6. Step 6: Final answer
    x = 262,240.39

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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.