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Finding the Fourth Proportional to 308,706.31, 463,059.48 and 203,500.68

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Solution

The fourth proportional to 308,706.31, 463,059.48 and 203,500.68 is: 305,251.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,706.31 : 463,059.48 = 203,500.68 : x
  2. Step 2: Convert to fraction form
    308,706.31/463,059.48 = 203,500.68/x
  3. Step 3: Cross multiply
    308,706.31x = 463,059.48 × 203,500.68
  4. Step 4: Simplify right side
    308,706.31x = 94,232,919,389.46
  5. Step 5: Solve for x
    x = 94,232,919,389.46/308,706.31
  6. Step 6: Final answer
    x = 305,251.03

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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.