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Finding the Fourth Proportional to 529,634.60, 796,007.10 and 461,205.80

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Solution

The fourth proportional to 529,634.60, 796,007.10 and 461,205.80 is: 693,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,634.60 : 796,007.10 = 461,205.80 : x
  2. Step 2: Convert to fraction form
    529,634.60/796,007.10 = 461,205.80/x
  3. Step 3: Cross multiply
    529,634.60x = 796,007.10 × 461,205.80
  4. Step 4: Simplify right side
    529,634.60x = 367,123,091,361.18
  5. Step 5: Solve for x
    x = 367,123,091,361.18/529,634.60
  6. Step 6: Final answer
    x = 693,162.97

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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.