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Finding the Fourth Proportional to 311,206.20, 466,809.30 and 236,556.60

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Solution

The fourth proportional to 311,206.20, 466,809.30 and 236,556.60 is: 354,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,206.20 : 466,809.30 = 236,556.60 : x
  2. Step 2: Convert to fraction form
    311,206.20/466,809.30 = 236,556.60/x
  3. Step 3: Cross multiply
    311,206.20x = 466,809.30 × 236,556.60
  4. Step 4: Simplify right side
    311,206.20x = 110,426,820,856.38
  5. Step 5: Solve for x
    x = 110,426,820,856.38/311,206.20
  6. Step 6: Final answer
    x = 354,834.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.