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Finding the Fourth Proportional to 340,508.24, 510,791.75 and 87,786.62

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Solution

The fourth proportional to 340,508.24, 510,791.75 and 87,786.62 is: 131,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,508.24 : 510,791.75 = 87,786.62 : x
  2. Step 2: Convert to fraction form
    340,508.24/510,791.75 = 87,786.62/x
  3. Step 3: Cross multiply
    340,508.24x = 510,791.75 × 87,786.62
  4. Step 4: Simplify right side
    340,508.24x = 44,840,678,263.49
  5. Step 5: Solve for x
    x = 44,840,678,263.49/340,508.24
  6. Step 6: Final answer
    x = 131,687.50

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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.