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Finding the Fourth Proportional to 289,711.80, 433,692.90 and 254,719.80

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Solution

The fourth proportional to 289,711.80, 433,692.90 and 254,719.80 is: 381,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,711.80 : 433,692.90 = 254,719.80 : x
  2. Step 2: Convert to fraction form
    289,711.80/433,692.90 = 254,719.80/x
  3. Step 3: Cross multiply
    289,711.80x = 433,692.90 × 254,719.80
  4. Step 4: Simplify right side
    289,711.80x = 110,470,168,749.42
  5. Step 5: Solve for x
    x = 110,470,168,749.42/289,711.80
  6. Step 6: Final answer
    x = 381,310.56

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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.