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Finding the Fourth Proportional to 468,753.36, 646,919.42 and 264,841.76

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Solution

The fourth proportional to 468,753.36, 646,919.42 and 264,841.76 is: 365,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,753.36 : 646,919.42 = 264,841.76 : x
  2. Step 2: Convert to fraction form
    468,753.36/646,919.42 = 264,841.76/x
  3. Step 3: Cross multiply
    468,753.36x = 646,919.42 × 264,841.76
  4. Step 4: Simplify right side
    468,753.36x = 171,331,277,770.98
  5. Step 5: Solve for x
    x = 171,331,277,770.98/468,753.36
  6. Step 6: Final answer
    x = 365,504.11

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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.