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Finding the Fourth Proportional to 365,772.74, 548,757.72 and 152,469.77

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Solution

The fourth proportional to 365,772.74, 548,757.72 and 152,469.77 is: 228,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,772.74 : 548,757.72 = 152,469.77 : x
  2. Step 2: Convert to fraction form
    365,772.74/548,757.72 = 152,469.77/x
  3. Step 3: Cross multiply
    365,772.74x = 548,757.72 × 152,469.77
  4. Step 4: Simplify right side
    365,772.74x = 83,668,960,610.34
  5. Step 5: Solve for x
    x = 83,668,960,610.34/365,772.74
  6. Step 6: Final answer
    x = 228,745.76

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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.