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Finding the Fourth Proportional to 308,731.44, 463,092.12 and 98,366.52

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Solution

The fourth proportional to 308,731.44, 463,092.12 and 98,366.52 is: 147,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,731.44 : 463,092.12 = 98,366.52 : x
  2. Step 2: Convert to fraction form
    308,731.44/463,092.12 = 98,366.52/x
  3. Step 3: Cross multiply
    308,731.44x = 463,092.12 × 98,366.52
  4. Step 4: Simplify right side
    308,731.44x = 45,552,760,283.82
  5. Step 5: Solve for x
    x = 45,552,760,283.82/308,731.44
  6. Step 6: Final answer
    x = 147,548.17

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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.