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Finding the Fourth Proportional to 534,172.26, 801,365.31 and 197,214.96

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Solution

The fourth proportional to 534,172.26, 801,365.31 and 197,214.96 is: 295,861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,172.26 : 801,365.31 = 197,214.96 : x
  2. Step 2: Convert to fraction form
    534,172.26/801,365.31 = 197,214.96/x
  3. Step 3: Cross multiply
    534,172.26x = 801,365.31 × 197,214.96
  4. Step 4: Simplify right side
    534,172.26x = 158,041,227,557.04
  5. Step 5: Solve for x
    x = 158,041,227,557.04/534,172.26
  6. Step 6: Final answer
    x = 295,861.91

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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.