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Finding the Fourth Proportional to 601,569.66, 902,410.15 and 196,764.16

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Solution

The fourth proportional to 601,569.66, 902,410.15 and 196,764.16 is: 295,164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,569.66 : 902,410.15 = 196,764.16 : x
  2. Step 2: Convert to fraction form
    601,569.66/902,410.15 = 196,764.16/x
  3. Step 3: Cross multiply
    601,569.66x = 902,410.15 × 196,764.16
  4. Step 4: Simplify right side
    601,569.66x = 177,561,970,628.17
  5. Step 5: Solve for x
    x = 177,561,970,628.17/601,569.66
  6. Step 6: Final answer
    x = 295,164.44

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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.