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Finding the Fourth Proportional to 317,287.46, 437,609.24 and 196,495.82

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Solution

The fourth proportional to 317,287.46, 437,609.24 and 196,495.82 is: 271,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,287.46 : 437,609.24 = 196,495.82 : x
  2. Step 2: Convert to fraction form
    317,287.46/437,609.24 = 196,495.82/x
  3. Step 3: Cross multiply
    317,287.46x = 437,609.24 × 196,495.82
  4. Step 4: Simplify right side
    317,287.46x = 85,988,386,453.38
  5. Step 5: Solve for x
    x = 85,988,386,453.38/317,287.46
  6. Step 6: Final answer
    x = 271,010.98

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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.