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Finding the Fourth Proportional to 584,069, 806,015.22 and 315,797

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Solution

The fourth proportional to 584,069, 806,015.22 and 315,797 is: 435,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,069 : 806,015.22 = 315,797 : x
  2. Step 2: Convert to fraction form
    584,069/806,015.22 = 315,797/x
  3. Step 3: Cross multiply
    584,069x = 806,015.22 × 315,797
  4. Step 4: Simplify right side
    584,069x = 254,537,188,430.34
  5. Step 5: Solve for x
    x = 254,537,188,430.34/584,069
  6. Step 6: Final answer
    x = 435,799.86

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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.