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Finding the Fourth Proportional to 322,742, 483,670.10 and 204,201.13

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Solution

The fourth proportional to 322,742, 483,670.10 and 204,201.13 is: 306,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,742 : 483,670.10 = 204,201.13 : x
  2. Step 2: Convert to fraction form
    322,742/483,670.10 = 204,201.13/x
  3. Step 3: Cross multiply
    322,742x = 483,670.10 × 204,201.13
  4. Step 4: Simplify right side
    322,742x = 98,765,980,967.21
  5. Step 5: Solve for x
    x = 98,765,980,967.21/322,742
  6. Step 6: Final answer
    x = 306,021.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.