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Finding the Fourth Proportional to 536,245.92, 804,472.56 and 203,796

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Solution

The fourth proportional to 536,245.92, 804,472.56 and 203,796 is: 305,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,245.92 : 804,472.56 = 203,796 : x
  2. Step 2: Convert to fraction form
    536,245.92/804,472.56 = 203,796/x
  3. Step 3: Cross multiply
    536,245.92x = 804,472.56 × 203,796
  4. Step 4: Simplify right side
    536,245.92x = 163,948,289,837.76
  5. Step 5: Solve for x
    x = 163,948,289,837.76/536,245.92
  6. Step 6: Final answer
    x = 305,733.40

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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.