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Finding the Fourth Proportional to 308,710.33, 463,148.62 and 158,868.97

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Solution

The fourth proportional to 308,710.33, 463,148.62 and 158,868.97 is: 238,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,710.33 : 463,148.62 = 158,868.97 : x
  2. Step 2: Convert to fraction form
    308,710.33/463,148.62 = 158,868.97/x
  3. Step 3: Cross multiply
    308,710.33x = 463,148.62 × 158,868.97
  4. Step 4: Simplify right side
    308,710.33x = 73,579,942,661.28
  5. Step 5: Solve for x
    x = 73,579,942,661.28/308,710.33
  6. Step 6: Final answer
    x = 238,346.23

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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.