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Finding the Fourth Proportional to 308,942.74, 463,121.92 and 232,923.33

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Solution

The fourth proportional to 308,942.74, 463,121.92 and 232,923.33 is: 349,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,942.74 : 463,121.92 = 232,923.33 : x
  2. Step 2: Convert to fraction form
    308,942.74/463,121.92 = 232,923.33/x
  3. Step 3: Cross multiply
    308,942.74x = 463,121.92 × 232,923.33
  4. Step 4: Simplify right side
    308,942.74x = 107,871,899,802.39
  5. Step 5: Solve for x
    x = 107,871,899,802.39/308,942.74
  6. Step 6: Final answer
    x = 349,164.70

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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.