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Finding the Fourth Proportional to 355,701.04, 490,883.16 and 204,846.64

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Solution

The fourth proportional to 355,701.04, 490,883.16 and 204,846.64 is: 282,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,701.04 : 490,883.16 = 204,846.64 : x
  2. Step 2: Convert to fraction form
    355,701.04/490,883.16 = 204,846.64/x
  3. Step 3: Cross multiply
    355,701.04x = 490,883.16 × 204,846.64
  4. Step 4: Simplify right side
    355,701.04x = 100,555,765,958.58
  5. Step 5: Solve for x
    x = 100,555,765,958.58/355,701.04
  6. Step 6: Final answer
    x = 282,697.42

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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.