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Finding the Fourth Proportional to 433,953.72, 650,471.31 and 197,462.48

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Solution

The fourth proportional to 433,953.72, 650,471.31 and 197,462.48 is: 295,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,953.72 : 650,471.31 = 197,462.48 : x
  2. Step 2: Convert to fraction form
    433,953.72/650,471.31 = 197,462.48/x
  3. Step 3: Cross multiply
    433,953.72x = 650,471.31 × 197,462.48
  4. Step 4: Simplify right side
    433,953.72x = 128,443,674,789.09
  5. Step 5: Solve for x
    x = 128,443,674,789.09/433,953.72
  6. Step 6: Final answer
    x = 295,984.73

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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.