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Finding the Fourth Proportional to 605,232, 835,220.16 and 337,023.36

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Solution

The fourth proportional to 605,232, 835,220.16 and 337,023.36 is: 465,092.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,232 : 835,220.16 = 337,023.36 : x
  2. Step 2: Convert to fraction form
    605,232/835,220.16 = 337,023.36/x
  3. Step 3: Cross multiply
    605,232x = 835,220.16 × 337,023.36
  4. Step 4: Simplify right side
    605,232x = 281,488,704,662.94
  5. Step 5: Solve for x
    x = 281,488,704,662.94/605,232
  6. Step 6: Final answer
    x = 465,092.24

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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.