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Finding the Fourth Proportional to 289,414.70, 433,538.85 and 194,936.30

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Solution

The fourth proportional to 289,414.70, 433,538.85 and 194,936.30 is: 292,011.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,414.70 : 433,538.85 = 194,936.30 : x
  2. Step 2: Convert to fraction form
    289,414.70/433,538.85 = 194,936.30/x
  3. Step 3: Cross multiply
    289,414.70x = 433,538.85 × 194,936.30
  4. Step 4: Simplify right side
    289,414.70x = 84,512,459,325.26
  5. Step 5: Solve for x
    x = 84,512,459,325.26/289,414.70
  6. Step 6: Final answer
    x = 292,011.63

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1.5x scale

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.