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Finding the Fourth Proportional to 257,758.96, 355,863.84 and 200,289.73

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Solution

The fourth proportional to 257,758.96, 355,863.84 and 200,289.73 is: 276,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,758.96 : 355,863.84 = 200,289.73 : x
  2. Step 2: Convert to fraction form
    257,758.96/355,863.84 = 200,289.73/x
  3. Step 3: Cross multiply
    257,758.96x = 355,863.84 × 200,289.73
  4. Step 4: Simplify right side
    257,758.96x = 71,275,871,402.13
  5. Step 5: Solve for x
    x = 71,275,871,402.13/257,758.96
  6. Step 6: Final answer
    x = 276,521.41

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1.5x scale

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.