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Finding the Fourth Proportional to 291,952.92, 402,776.64 and 206,036.64

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Solution

The fourth proportional to 291,952.92, 402,776.64 and 206,036.64 is: 284,247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,952.92 : 402,776.64 = 206,036.64 : x
  2. Step 2: Convert to fraction form
    291,952.92/402,776.64 = 206,036.64/x
  3. Step 3: Cross multiply
    291,952.92x = 402,776.64 × 206,036.64
  4. Step 4: Simplify right side
    291,952.92x = 82,986,745,576.09
  5. Step 5: Solve for x
    x = 82,986,745,576.09/291,952.92
  6. Step 6: Final answer
    x = 284,247.01

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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.