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Finding the Fourth Proportional to 501,922.67, 692,349 and 297,839.12

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Solution

The fourth proportional to 501,922.67, 692,349 and 297,839.12 is: 410,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,922.67 : 692,349 = 297,839.12 : x
  2. Step 2: Convert to fraction form
    501,922.67/692,349 = 297,839.12/x
  3. Step 3: Cross multiply
    501,922.67x = 692,349 × 297,839.12
  4. Step 4: Simplify right side
    501,922.67x = 206,208,616,892.88
  5. Step 5: Solve for x
    x = 206,208,616,892.88/501,922.67
  6. Step 6: Final answer
    x = 410,837.42

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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.