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Finding the Fourth Proportional to 308,946.60, 463,463.10 and 131,452.20

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Solution

The fourth proportional to 308,946.60, 463,463.10 and 131,452.20 is: 197,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,946.60 : 463,463.10 = 131,452.20 : x
  2. Step 2: Convert to fraction form
    308,946.60/463,463.10 = 131,452.20/x
  3. Step 3: Cross multiply
    308,946.60x = 463,463.10 × 131,452.20
  4. Step 4: Simplify right side
    308,946.60x = 60,923,244,113.82
  5. Step 5: Solve for x
    x = 60,923,244,113.82/308,946.60
  6. Step 6: Final answer
    x = 197,196.68

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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.