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Finding the Fourth Proportional to 293,647, 405,233.34 and 159,511

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Solution

The fourth proportional to 293,647, 405,233.34 and 159,511 is: 220,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,647 : 405,233.34 = 159,511 : x
  2. Step 2: Convert to fraction form
    293,647/405,233.34 = 159,511/x
  3. Step 3: Cross multiply
    293,647x = 405,233.34 × 159,511
  4. Step 4: Simplify right side
    293,647x = 64,639,175,296.74
  5. Step 5: Solve for x
    x = 64,639,175,296.74/293,647
  6. Step 6: Final answer
    x = 220,125.44

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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.