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Finding the Fourth Proportional to 409,940.80, 614,911.20 and 114,452.80

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Solution

The fourth proportional to 409,940.80, 614,911.20 and 114,452.80 is: 171,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,940.80 : 614,911.20 = 114,452.80 : x
  2. Step 2: Convert to fraction form
    409,940.80/614,911.20 = 114,452.80/x
  3. Step 3: Cross multiply
    409,940.80x = 614,911.20 × 114,452.80
  4. Step 4: Simplify right side
    409,940.80x = 70,378,308,591.36
  5. Step 5: Solve for x
    x = 70,378,308,591.36/409,940.80
  6. Step 6: Final answer
    x = 171,679.20

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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.