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Finding the Fourth Proportional to 365,782.56, 548,287.88 and 197,257.02

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Solution

The fourth proportional to 365,782.56, 548,287.88 and 197,257.02 is: 295,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,782.56 : 548,287.88 = 197,257.02 : x
  2. Step 2: Convert to fraction form
    365,782.56/548,287.88 = 197,257.02/x
  3. Step 3: Cross multiply
    365,782.56x = 548,287.88 × 197,257.02
  4. Step 4: Simplify right side
    365,782.56x = 108,153,632,324.63
  5. Step 5: Solve for x
    x = 108,153,632,324.63/365,782.56
  6. Step 6: Final answer
    x = 295,677.39

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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.