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Finding the Fourth Proportional to 601,604.64, 902,462.68 and 196,799.12

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Solution

The fourth proportional to 601,604.64, 902,462.68 and 196,799.12 is: 295,216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,604.64 : 902,462.68 = 196,799.12 : x
  2. Step 2: Convert to fraction form
    601,604.64/902,462.68 = 196,799.12/x
  3. Step 3: Cross multiply
    601,604.64x = 902,462.68 × 196,799.12
  4. Step 4: Simplify right side
    601,604.64x = 177,603,861,256.84
  5. Step 5: Solve for x
    x = 177,603,861,256.84/601,604.64
  6. Step 6: Final answer
    x = 295,216.91

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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.