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Finding the Fourth Proportional to 502,684.56, 693,190.44 and 332,856.72

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Solution

The fourth proportional to 502,684.56, 693,190.44 and 332,856.72 is: 459,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,684.56 : 693,190.44 = 332,856.72 : x
  2. Step 2: Convert to fraction form
    502,684.56/693,190.44 = 332,856.72/x
  3. Step 3: Cross multiply
    502,684.56x = 693,190.44 × 332,856.72
  4. Step 4: Simplify right side
    502,684.56x = 230,733,096,193.76
  5. Step 5: Solve for x
    x = 230,733,096,193.76/502,684.56
  6. Step 6: Final answer
    x = 459,001.76

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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.