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Finding the Fourth Proportional to 365,758.20, 548,455.86 and 116,407.80

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Solution

The fourth proportional to 365,758.20, 548,455.86 and 116,407.80 is: 174,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,758.20 : 548,455.86 = 116,407.80 : x
  2. Step 2: Convert to fraction form
    365,758.20/548,455.86 = 116,407.80/x
  3. Step 3: Cross multiply
    365,758.20x = 548,455.86 × 116,407.80
  4. Step 4: Simplify right side
    365,758.20x = 63,844,540,059.71
  5. Step 5: Solve for x
    x = 63,844,540,059.71/365,758.20
  6. Step 6: Final answer
    x = 174,553.95

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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.