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Finding the Fourth Proportional to 313,304.54, 469,965.92 and 76,647.14

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Solution

The fourth proportional to 313,304.54, 469,965.92 and 76,647.14 is: 114,972.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,304.54 : 469,965.92 = 76,647.14 : x
  2. Step 2: Convert to fraction form
    313,304.54/469,965.92 = 76,647.14/x
  3. Step 3: Cross multiply
    313,304.54x = 469,965.92 × 76,647.14
  4. Step 4: Simplify right side
    313,304.54x = 36,021,543,665.47
  5. Step 5: Solve for x
    x = 36,021,543,665.47/313,304.54
  6. Step 6: Final answer
    x = 114,972.94

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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.