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Finding the Fourth Proportional to 856,057.38, 1,181,380.56 and 468,893.99

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Solution

The fourth proportional to 856,057.38, 1,181,380.56 and 468,893.99 is: 647,085.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,057.38 : 1,181,380.56 = 468,893.99 : x
  2. Step 2: Convert to fraction form
    856,057.38/1,181,380.56 = 468,893.99/x
  3. Step 3: Cross multiply
    856,057.38x = 1,181,380.56 × 468,893.99
  4. Step 4: Simplify right side
    856,057.38x = 553,942,237,407.70
  5. Step 5: Solve for x
    x = 553,942,237,407.70/856,057.38
  6. Step 6: Final answer
    x = 647,085.41

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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.