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Finding the Fourth Proportional to 308,387.57, 462,576.49 and 98,022.47

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Solution

The fourth proportional to 308,387.57, 462,576.49 and 98,022.47 is: 147,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,387.57 : 462,576.49 = 98,022.47 : x
  2. Step 2: Convert to fraction form
    308,387.57/462,576.49 = 98,022.47/x
  3. Step 3: Cross multiply
    308,387.57x = 462,576.49 × 98,022.47
  4. Step 4: Simplify right side
    308,387.57x = 45,342,887,555.79
  5. Step 5: Solve for x
    x = 45,342,887,555.79/308,387.57
  6. Step 6: Final answer
    x = 147,032.15

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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.