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Finding the Fourth Proportional to 536,343.92, 804,619.60 and 203,894

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Solution

The fourth proportional to 536,343.92, 804,619.60 and 203,894 is: 305,880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,343.92 : 804,619.60 = 203,894 : x
  2. Step 2: Convert to fraction form
    536,343.92/804,619.60 = 203,894/x
  3. Step 3: Cross multiply
    536,343.92x = 804,619.60 × 203,894
  4. Step 4: Simplify right side
    536,343.92x = 164,057,108,722.40
  5. Step 5: Solve for x
    x = 164,057,108,722.40/536,343.92
  6. Step 6: Final answer
    x = 305,880.43

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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.