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Finding the Fourth Proportional to 474,516.92, 654,588.11 and 321,502.76

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Solution

The fourth proportional to 474,516.92, 654,588.11 and 321,502.76 is: 443,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,516.92 : 654,588.11 = 321,502.76 : x
  2. Step 2: Convert to fraction form
    474,516.92/654,588.11 = 321,502.76/x
  3. Step 3: Cross multiply
    474,516.92x = 654,588.11 × 321,502.76
  4. Step 4: Simplify right side
    474,516.92x = 210,451,879,147.73
  5. Step 5: Solve for x
    x = 210,451,879,147.73/474,516.92
  6. Step 6: Final answer
    x = 443,507.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.