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Finding the Fourth Proportional to 535,738.91, 801,689.60 and 463,940.51

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Solution

The fourth proportional to 535,738.91, 801,689.60 and 463,940.51 is: 694,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,738.91 : 801,689.60 = 463,940.51 : x
  2. Step 2: Convert to fraction form
    535,738.91/801,689.60 = 463,940.51/x
  3. Step 3: Cross multiply
    535,738.91x = 801,689.60 × 463,940.51
  4. Step 4: Simplify right side
    535,738.91x = 371,936,279,037.10
  5. Step 5: Solve for x
    x = 371,936,279,037.10/535,738.91
  6. Step 6: Final answer
    x = 694,249.15

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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.