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Finding the Fourth Proportional to 313,772.78, 470,715.60 and 114,372.92

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Solution

The fourth proportional to 313,772.78, 470,715.60 and 114,372.92 is: 171,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,772.78 : 470,715.60 = 114,372.92 : x
  2. Step 2: Convert to fraction form
    313,772.78/470,715.60 = 114,372.92/x
  3. Step 3: Cross multiply
    313,772.78x = 470,715.60 × 114,372.92
  4. Step 4: Simplify right side
    313,772.78x = 53,837,117,661.55
  5. Step 5: Solve for x
    x = 53,837,117,661.55/313,772.78
  6. Step 6: Final answer
    x = 171,579.95

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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.