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Finding the Fourth Proportional to 796,242, 1,098,813.96 and 438,546

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Solution

The fourth proportional to 796,242, 1,098,813.96 and 438,546 is: 605,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,242 : 1,098,813.96 = 438,546 : x
  2. Step 2: Convert to fraction form
    796,242/1,098,813.96 = 438,546/x
  3. Step 3: Cross multiply
    796,242x = 1,098,813.96 × 438,546
  4. Step 4: Simplify right side
    796,242x = 481,880,466,902.16
  5. Step 5: Solve for x
    x = 481,880,466,902.16/796,242
  6. Step 6: Final answer
    x = 605,193.48

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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.