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Finding the Fourth Proportional to 302,946.60, 454,419.90 and 145,093.80

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Solution

The fourth proportional to 302,946.60, 454,419.90 and 145,093.80 is: 217,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,946.60 : 454,419.90 = 145,093.80 : x
  2. Step 2: Convert to fraction form
    302,946.60/454,419.90 = 145,093.80/x
  3. Step 3: Cross multiply
    302,946.60x = 454,419.90 × 145,093.80
  4. Step 4: Simplify right side
    302,946.60x = 65,933,510,086.62
  5. Step 5: Solve for x
    x = 65,933,510,086.62/302,946.60
  6. Step 6: Final answer
    x = 217,640.70

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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.