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Finding the Fourth Proportional to 317,294, 475,960.44 and 95,678

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Solution

The fourth proportional to 317,294, 475,960.44 and 95,678 is: 143,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,294 : 475,960.44 = 95,678 : x
  2. Step 2: Convert to fraction form
    317,294/475,960.44 = 95,678/x
  3. Step 3: Cross multiply
    317,294x = 475,960.44 × 95,678
  4. Step 4: Simplify right side
    317,294x = 45,538,942,978.32
  5. Step 5: Solve for x
    x = 45,538,942,978.32/317,294
  6. Step 6: Final answer
    x = 143,522.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.