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Finding the Fourth Proportional to 3,219,861.02, 4,829,956.97 and 823,726.44

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Solution

The fourth proportional to 3,219,861.02, 4,829,956.97 and 823,726.44 is: 1,235,631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219,861.02 : 4,829,956.97 = 823,726.44 : x
  2. Step 2: Convert to fraction form
    3,219,861.02/4,829,956.97 = 823,726.44/x
  3. Step 3: Cross multiply
    3,219,861.02x = 4,829,956.97 × 823,726.44
  4. Step 4: Simplify right side
    3,219,861.02x = 3,978,563,260,251.29
  5. Step 5: Solve for x
    x = 3,978,563,260,251.29/3,219,861.02
  6. Step 6: Final answer
    x = 1,235,631.98

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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.