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Finding the Fourth Proportional to 459,715, 689,441.82 and 193,536.04

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Solution

The fourth proportional to 459,715, 689,441.82 and 193,536.04 is: 290,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,715 : 689,441.82 = 193,536.04 : x
  2. Step 2: Convert to fraction form
    459,715/689,441.82 = 193,536.04/x
  3. Step 3: Cross multiply
    459,715x = 689,441.82 × 193,536.04
  4. Step 4: Simplify right side
    459,715x = 133,431,839,653.19
  5. Step 5: Solve for x
    x = 133,431,839,653.19/459,715
  6. Step 6: Final answer
    x = 290,249.04

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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.