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Finding the Fourth Proportional to 584,163, 806,144.99 and 315,891

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Solution

The fourth proportional to 584,163, 806,144.99 and 315,891 is: 435,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,163 : 806,144.99 = 315,891 : x
  2. Step 2: Convert to fraction form
    584,163/806,144.99 = 315,891/x
  3. Step 3: Cross multiply
    584,163x = 806,144.99 × 315,891
  4. Step 4: Simplify right side
    584,163x = 254,653,945,456.64
  5. Step 5: Solve for x
    x = 254,653,945,456.64/584,163
  6. Step 6: Final answer
    x = 435,929.60

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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.