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Finding the Fourth Proportional to 616,105, 850,227.46 and 333,481

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Solution

The fourth proportional to 616,105, 850,227.46 and 333,481 is: 460,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,105 : 850,227.46 = 333,481 : x
  2. Step 2: Convert to fraction form
    616,105/850,227.46 = 333,481/x
  3. Step 3: Cross multiply
    616,105x = 850,227.46 × 333,481
  4. Step 4: Simplify right side
    616,105x = 283,534,703,588.26
  5. Step 5: Solve for x
    x = 283,534,703,588.26/616,105
  6. Step 6: Final answer
    x = 460,205.17

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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.