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Finding the Fourth Proportional to 362,419.38, 500,138.28 and 201,298.50

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Solution

The fourth proportional to 362,419.38, 500,138.28 and 201,298.50 is: 277,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,419.38 : 500,138.28 = 201,298.50 : x
  2. Step 2: Convert to fraction form
    362,419.38/500,138.28 = 201,298.50/x
  3. Step 3: Cross multiply
    362,419.38x = 500,138.28 × 201,298.50
  4. Step 4: Simplify right side
    362,419.38x = 100,677,085,556.58
  5. Step 5: Solve for x
    x = 100,677,085,556.58/362,419.38
  6. Step 6: Final answer
    x = 277,791.67

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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.