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Finding the Fourth Proportional to 534,020.94, 801,101.16 and 197,297.46

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Solution

The fourth proportional to 534,020.94, 801,101.16 and 197,297.46 is: 295,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,020.94 : 801,101.16 = 197,297.46 : x
  2. Step 2: Convert to fraction form
    534,020.94/801,101.16 = 197,297.46/x
  3. Step 3: Cross multiply
    534,020.94x = 801,101.16 × 197,297.46
  4. Step 4: Simplify right side
    534,020.94x = 158,055,224,071.05
  5. Step 5: Solve for x
    x = 158,055,224,071.05/534,020.94
  6. Step 6: Final answer
    x = 295,971.96

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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.