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Finding the Fourth Proportional to 534,023.94, 801,105.66 and 197,300.46

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Solution

The fourth proportional to 534,023.94, 801,105.66 and 197,300.46 is: 295,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,023.94 : 801,105.66 = 197,300.46 : x
  2. Step 2: Convert to fraction form
    534,023.94/801,105.66 = 197,300.46/x
  3. Step 3: Cross multiply
    534,023.94x = 801,105.66 × 197,300.46
  4. Step 4: Simplify right side
    534,023.94x = 158,058,515,226.60
  5. Step 5: Solve for x
    x = 158,058,515,226.60/534,023.94
  6. Step 6: Final answer
    x = 295,976.46

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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.