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Finding the Fourth Proportional to 344,023.88, 515,250.14 and 164,235.76

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Solution

The fourth proportional to 344,023.88, 515,250.14 and 164,235.76 is: 245,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,023.88 : 515,250.14 = 164,235.76 : x
  2. Step 2: Convert to fraction form
    344,023.88/515,250.14 = 164,235.76/x
  3. Step 3: Cross multiply
    344,023.88x = 515,250.14 × 164,235.76
  4. Step 4: Simplify right side
    344,023.88x = 84,622,496,223.70
  5. Step 5: Solve for x
    x = 84,622,496,223.70/344,023.88
  6. Step 6: Final answer
    x = 245,978.56

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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.