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Finding the Fourth Proportional to 580,502.28, 870,529.74 and 225,469.56

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Solution

The fourth proportional to 580,502.28, 870,529.74 and 225,469.56 is: 338,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,502.28 : 870,529.74 = 225,469.56 : x
  2. Step 2: Convert to fraction form
    580,502.28/870,529.74 = 225,469.56/x
  3. Step 3: Cross multiply
    580,502.28x = 870,529.74 × 225,469.56
  4. Step 4: Simplify right side
    580,502.28x = 196,277,957,444.71
  5. Step 5: Solve for x
    x = 196,277,957,444.71/580,502.28
  6. Step 6: Final answer
    x = 338,117.46

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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.