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Finding the Fourth Proportional to 577,186.40, 796,284.34 and 383,687.68

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Solution

The fourth proportional to 577,186.40, 796,284.34 and 383,687.68 is: 529,334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,186.40 : 796,284.34 = 383,687.68 : x
  2. Step 2: Convert to fraction form
    577,186.40/796,284.34 = 383,687.68/x
  3. Step 3: Cross multiply
    577,186.40x = 796,284.34 × 383,687.68
  4. Step 4: Simplify right side
    577,186.40x = 305,524,491,034.93
  5. Step 5: Solve for x
    x = 305,524,491,034.93/577,186.40
  6. Step 6: Final answer
    x = 529,334.18

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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.