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Finding the Fourth Proportional to 601,571.40, 902,412.78 and 196,765.91

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Solution

The fourth proportional to 601,571.40, 902,412.78 and 196,765.91 is: 295,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,571.40 : 902,412.78 = 196,765.91 : x
  2. Step 2: Convert to fraction form
    601,571.40/902,412.78 = 196,765.91/x
  3. Step 3: Cross multiply
    601,571.40x = 902,412.78 × 196,765.91
  4. Step 4: Simplify right side
    601,571.40x = 177,564,067,340.27
  5. Step 5: Solve for x
    x = 177,564,067,340.27/601,571.40
  6. Step 6: Final answer
    x = 295,167.07

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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.