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Finding the Fourth Proportional to 283,891.53, 391,770.66 and 154,830.21

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Solution

The fourth proportional to 283,891.53, 391,770.66 and 154,830.21 is: 213,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,891.53 : 391,770.66 = 154,830.21 : x
  2. Step 2: Convert to fraction form
    283,891.53/391,770.66 = 154,830.21/x
  3. Step 3: Cross multiply
    283,891.53x = 391,770.66 × 154,830.21
  4. Step 4: Simplify right side
    283,891.53x = 60,657,933,559.64
  5. Step 5: Solve for x
    x = 60,657,933,559.64/283,891.53
  6. Step 6: Final answer
    x = 213,665.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.