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Finding the Fourth Proportional to 550,047.36, 825,071.80 and 150,691.60

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Solution

The fourth proportional to 550,047.36, 825,071.80 and 150,691.60 is: 226,037.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,047.36 : 825,071.80 = 150,691.60 : x
  2. Step 2: Convert to fraction form
    550,047.36/825,071.80 = 150,691.60/x
  3. Step 3: Cross multiply
    550,047.36x = 825,071.80 × 150,691.60
  4. Step 4: Simplify right side
    550,047.36x = 124,331,389,656.88
  5. Step 5: Solve for x
    x = 124,331,389,656.88/550,047.36
  6. Step 6: Final answer
    x = 226,037.61

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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.