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Finding the Fourth Proportional to 313,305.24, 469,966.97 and 76,647.86

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Solution

The fourth proportional to 313,305.24, 469,966.97 and 76,647.86 is: 114,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,305.24 : 469,966.97 = 76,647.86 : x
  2. Step 2: Convert to fraction form
    313,305.24/469,966.97 = 76,647.86/x
  3. Step 3: Cross multiply
    313,305.24x = 469,966.97 × 76,647.86
  4. Step 4: Simplify right side
    313,305.24x = 36,021,960,362.97
  5. Step 5: Solve for x
    x = 36,021,960,362.97/313,305.24
  6. Step 6: Final answer
    x = 114,974.01

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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.