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Finding the Fourth Proportional to 317,006.63, 437,513.90 and 196,186.82

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Solution

The fourth proportional to 317,006.63, 437,513.90 and 196,186.82 is: 270,765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,006.63 : 437,513.90 = 196,186.82 : x
  2. Step 2: Convert to fraction form
    317,006.63/437,513.90 = 196,186.82/x
  3. Step 3: Cross multiply
    317,006.63x = 437,513.90 × 196,186.82
  4. Step 4: Simplify right side
    317,006.63x = 85,834,460,859.65
  5. Step 5: Solve for x
    x = 85,834,460,859.65/317,006.63
  6. Step 6: Final answer
    x = 270,765.51

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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.