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Finding the Fourth Proportional to 340,616.24, 470,044.32 and 189,710

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Solution

The fourth proportional to 340,616.24, 470,044.32 and 189,710 is: 261,796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,616.24 : 470,044.32 = 189,710 : x
  2. Step 2: Convert to fraction form
    340,616.24/470,044.32 = 189,710/x
  3. Step 3: Cross multiply
    340,616.24x = 470,044.32 × 189,710
  4. Step 4: Simplify right side
    340,616.24x = 89,172,107,947.20
  5. Step 5: Solve for x
    x = 89,172,107,947.20/340,616.24
  6. Step 6: Final answer
    x = 261,796.41

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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.