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Finding the Fourth Proportional to 827,449.50, 1,238,861.84 and 447,007.26

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Solution

The fourth proportional to 827,449.50, 1,238,861.84 and 447,007.26 is: 669,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,449.50 : 1,238,861.84 = 447,007.26 : x
  2. Step 2: Convert to fraction form
    827,449.50/1,238,861.84 = 447,007.26/x
  3. Step 3: Cross multiply
    827,449.50x = 1,238,861.84 × 447,007.26
  4. Step 4: Simplify right side
    827,449.50x = 553,780,234,381.92
  5. Step 5: Solve for x
    x = 553,780,234,381.92/827,449.50
  6. Step 6: Final answer
    x = 669,261.67

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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.