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Finding the Fourth Proportional to 601,585.74, 902,579.63 and 196,796.34

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Solution

The fourth proportional to 601,585.74, 902,579.63 and 196,796.34 is: 295,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,585.74 : 902,579.63 = 196,796.34 : x
  2. Step 2: Convert to fraction form
    601,585.74/902,579.63 = 196,796.34/x
  3. Step 3: Cross multiply
    601,585.74x = 902,579.63 × 196,796.34
  4. Step 4: Simplify right side
    601,585.74x = 177,624,366,758.57
  5. Step 5: Solve for x
    x = 177,624,366,758.57/601,585.74
  6. Step 6: Final answer
    x = 295,260.27

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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.