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Finding the Fourth Proportional to 313,733.52, 470,601.60 and 77,076.24

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Solution

The fourth proportional to 313,733.52, 470,601.60 and 77,076.24 is: 115,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,733.52 : 470,601.60 = 77,076.24 : x
  2. Step 2: Convert to fraction form
    313,733.52/470,601.60 = 77,076.24/x
  3. Step 3: Cross multiply
    313,733.52x = 470,601.60 × 77,076.24
  4. Step 4: Simplify right side
    313,733.52x = 36,272,201,865.98
  5. Step 5: Solve for x
    x = 36,272,201,865.98/313,733.52
  6. Step 6: Final answer
    x = 115,614.68

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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.