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Finding the Fourth Proportional to 308,502.84, 462,806.10 and 98,205.24

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Solution

The fourth proportional to 308,502.84, 462,806.10 and 98,205.24 is: 147,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,502.84 : 462,806.10 = 98,205.24 : x
  2. Step 2: Convert to fraction form
    308,502.84/462,806.10 = 98,205.24/x
  3. Step 3: Cross multiply
    308,502.84x = 462,806.10 × 98,205.24
  4. Step 4: Simplify right side
    308,502.84x = 45,449,984,123.96
  5. Step 5: Solve for x
    x = 45,449,984,123.96/308,502.84
  6. Step 6: Final answer
    x = 147,324.36

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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.