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Finding the Fourth Proportional to 543,321.05, 749,745.54 and 301,584.60

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Solution

The fourth proportional to 543,321.05, 749,745.54 and 301,584.60 is: 416,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,321.05 : 749,745.54 = 301,584.60 : x
  2. Step 2: Convert to fraction form
    543,321.05/749,745.54 = 301,584.60/x
  3. Step 3: Cross multiply
    543,321.05x = 749,745.54 × 301,584.60
  4. Step 4: Simplify right side
    543,321.05x = 226,111,708,782.68
  5. Step 5: Solve for x
    x = 226,111,708,782.68/543,321.05
  6. Step 6: Final answer
    x = 416,165.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.