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Finding the Fourth Proportional to 329,811.20, 494,716.80 and 152,664.20

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Solution

The fourth proportional to 329,811.20, 494,716.80 and 152,664.20 is: 228,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,811.20 : 494,716.80 = 152,664.20 : x
  2. Step 2: Convert to fraction form
    329,811.20/494,716.80 = 152,664.20/x
  3. Step 3: Cross multiply
    329,811.20x = 494,716.80 × 152,664.20
  4. Step 4: Simplify right side
    329,811.20x = 75,525,544,498.56
  5. Step 5: Solve for x
    x = 75,525,544,498.56/329,811.20
  6. Step 6: Final answer
    x = 228,996.30

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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.