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Finding the Fourth Proportional to 314,286.56, 433,863.80 and 201,174.92

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Solution

The fourth proportional to 314,286.56, 433,863.80 and 201,174.92 is: 277,716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,286.56 : 433,863.80 = 201,174.92 : x
  2. Step 2: Convert to fraction form
    314,286.56/433,863.80 = 201,174.92/x
  3. Step 3: Cross multiply
    314,286.56x = 433,863.80 × 201,174.92
  4. Step 4: Simplify right side
    314,286.56x = 87,282,515,255.90
  5. Step 5: Solve for x
    x = 87,282,515,255.90/314,286.56
  6. Step 6: Final answer
    x = 277,716.35

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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.