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Finding the Fourth Proportional to 308,874.82, 463,346.79 and 98,463.94

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Solution

The fourth proportional to 308,874.82, 463,346.79 and 98,463.94 is: 147,706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,874.82 : 463,346.79 = 98,463.94 : x
  2. Step 2: Convert to fraction form
    308,874.82/463,346.79 = 98,463.94/x
  3. Step 3: Cross multiply
    308,874.82x = 463,346.79 × 98,463.94
  4. Step 4: Simplify right side
    308,874.82x = 45,622,950,529.75
  5. Step 5: Solve for x
    x = 45,622,950,529.75/308,874.82
  6. Step 6: Final answer
    x = 147,706.93

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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.