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Finding the Fourth Proportional to 308,945.91, 463,439.92 and 98,599.71

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Solution

The fourth proportional to 308,945.91, 463,439.92 and 98,599.71 is: 147,906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,945.91 : 463,439.92 = 98,599.71 : x
  2. Step 2: Convert to fraction form
    308,945.91/463,439.92 = 98,599.71/x
  3. Step 3: Cross multiply
    308,945.91x = 463,439.92 × 98,599.71
  4. Step 4: Simplify right side
    308,945.91x = 45,695,040,802.32
  5. Step 5: Solve for x
    x = 45,695,040,802.32/308,945.91
  6. Step 6: Final answer
    x = 147,906.28

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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.