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Finding the Fourth Proportional to 329,920.90, 494,553.30 and 152,117.80

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Solution

The fourth proportional to 329,920.90, 494,553.30 and 152,117.80 is: 228,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,920.90 : 494,553.30 = 152,117.80 : x
  2. Step 2: Convert to fraction form
    329,920.90/494,553.30 = 152,117.80/x
  3. Step 3: Cross multiply
    329,920.90x = 494,553.30 × 152,117.80
  4. Step 4: Simplify right side
    329,920.90x = 75,230,359,978.74
  5. Step 5: Solve for x
    x = 75,230,359,978.74/329,920.90
  6. Step 6: Final answer
    x = 228,025.44

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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.