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Finding the Fourth Proportional to 329,919.90, 494,551.80 and 152,116.80

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Solution

The fourth proportional to 329,919.90, 494,551.80 and 152,116.80 is: 228,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,919.90 : 494,551.80 = 152,116.80 : x
  2. Step 2: Convert to fraction form
    329,919.90/494,551.80 = 152,116.80/x
  3. Step 3: Cross multiply
    329,919.90x = 494,551.80 × 152,116.80
  4. Step 4: Simplify right side
    329,919.90x = 75,229,637,250.24
  5. Step 5: Solve for x
    x = 75,229,637,250.24/329,919.90
  6. Step 6: Final answer
    x = 228,023.95

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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.