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Finding the Fourth Proportional to 702,337.23, 969,229.85 and 411,889.58

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Solution

The fourth proportional to 702,337.23, 969,229.85 and 411,889.58 is: 568,410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,337.23 : 969,229.85 = 411,889.58 : x
  2. Step 2: Convert to fraction form
    702,337.23/969,229.85 = 411,889.58/x
  3. Step 3: Cross multiply
    702,337.23x = 969,229.85 × 411,889.58
  4. Step 4: Simplify right side
    702,337.23x = 399,215,672,023.54
  5. Step 5: Solve for x
    x = 399,215,672,023.54/702,337.23
  6. Step 6: Final answer
    x = 568,410.24

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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.