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Finding the Fourth Proportional to 534,836.22, 801,410.49 and 197,412.54

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Solution

The fourth proportional to 534,836.22, 801,410.49 and 197,412.54 is: 295,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,836.22 : 801,410.49 = 197,412.54 : x
  2. Step 2: Convert to fraction form
    534,836.22/801,410.49 = 197,412.54/x
  3. Step 3: Cross multiply
    534,836.22x = 801,410.49 × 197,412.54
  4. Step 4: Simplify right side
    534,836.22x = 158,208,480,413.55
  5. Step 5: Solve for x
    x = 158,208,480,413.55/534,836.22
  6. Step 6: Final answer
    x = 295,807.34

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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.