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Finding the Fourth Proportional to 363,616.63, 501,786.16 and 200,270

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Solution

The fourth proportional to 363,616.63, 501,786.16 and 200,270 is: 276,369.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,616.63 : 501,786.16 = 200,270 : x
  2. Step 2: Convert to fraction form
    363,616.63/501,786.16 = 200,270/x
  3. Step 3: Cross multiply
    363,616.63x = 501,786.16 × 200,270
  4. Step 4: Simplify right side
    363,616.63x = 100,492,714,263.20
  5. Step 5: Solve for x
    x = 100,492,714,263.20/363,616.63
  6. Step 6: Final answer
    x = 276,369.96

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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.