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Finding the Fourth Proportional to 412,301.79, 618,664.30 and 196,405.02

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Solution

The fourth proportional to 412,301.79, 618,664.30 and 196,405.02 is: 294,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,301.79 : 618,664.30 = 196,405.02 : x
  2. Step 2: Convert to fraction form
    412,301.79/618,664.30 = 196,405.02/x
  3. Step 3: Cross multiply
    412,301.79x = 618,664.30 × 196,405.02
  4. Step 4: Simplify right side
    412,301.79x = 121,508,773,232.76
  5. Step 5: Solve for x
    x = 121,508,773,232.76/412,301.79
  6. Step 6: Final answer
    x = 294,708.33

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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.