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Finding the Fourth Proportional to 289,234.10, 433,851.15 and 194,755.70

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Solution

The fourth proportional to 289,234.10, 433,851.15 and 194,755.70 is: 292,133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,234.10 : 433,851.15 = 194,755.70 : x
  2. Step 2: Convert to fraction form
    289,234.10/433,851.15 = 194,755.70/x
  3. Step 3: Cross multiply
    289,234.10x = 433,851.15 × 194,755.70
  4. Step 4: Simplify right side
    289,234.10x = 84,494,984,414.06
  5. Step 5: Solve for x
    x = 84,494,984,414.06/289,234.10
  6. Step 6: Final answer
    x = 292,133.55

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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.