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Finding the Fourth Proportional to 335,967.36, 463,616.10 and 192,714

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Solution

The fourth proportional to 335,967.36, 463,616.10 and 192,714 is: 265,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,967.36 : 463,616.10 = 192,714 : x
  2. Step 2: Convert to fraction form
    335,967.36/463,616.10 = 192,714/x
  3. Step 3: Cross multiply
    335,967.36x = 463,616.10 × 192,714
  4. Step 4: Simplify right side
    335,967.36x = 89,345,313,095.40
  5. Step 5: Solve for x
    x = 89,345,313,095.40/335,967.36
  6. Step 6: Final answer
    x = 265,934.50

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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.