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Finding the Fourth Proportional to 289,808.20, 434,712.30 and 201,161.80

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Solution

The fourth proportional to 289,808.20, 434,712.30 and 201,161.80 is: 301,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,808.20 : 434,712.30 = 201,161.80 : x
  2. Step 2: Convert to fraction form
    289,808.20/434,712.30 = 201,161.80/x
  3. Step 3: Cross multiply
    289,808.20x = 434,712.30 × 201,161.80
  4. Step 4: Simplify right side
    289,808.20x = 87,447,508,750.14
  5. Step 5: Solve for x
    x = 87,447,508,750.14/289,808.20
  6. Step 6: Final answer
    x = 301,742.70

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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.