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Finding the Fourth Proportional to 301,409.88, 452,217.78 and 188,954.34

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Solution

The fourth proportional to 301,409.88, 452,217.78 and 188,954.34 is: 283,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,409.88 : 452,217.78 = 188,954.34 : x
  2. Step 2: Convert to fraction form
    301,409.88/452,217.78 = 188,954.34/x
  3. Step 3: Cross multiply
    301,409.88x = 452,217.78 × 188,954.34
  4. Step 4: Simplify right side
    301,409.88x = 85,448,512,156.17
  5. Step 5: Solve for x
    x = 85,448,512,156.17/301,409.88
  6. Step 6: Final answer
    x = 283,496.06

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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.