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Finding the Fourth Proportional to 308,981.60, 463,472.40 and 224,344.70

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Solution

The fourth proportional to 308,981.60, 463,472.40 and 224,344.70 is: 336,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,981.60 : 463,472.40 = 224,344.70 : x
  2. Step 2: Convert to fraction form
    308,981.60/463,472.40 = 224,344.70/x
  3. Step 3: Cross multiply
    308,981.60x = 463,472.40 × 224,344.70
  4. Step 4: Simplify right side
    308,981.60x = 103,977,576,536.28
  5. Step 5: Solve for x
    x = 103,977,576,536.28/308,981.60
  6. Step 6: Final answer
    x = 336,517.05

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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.