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Finding the Fourth Proportional to 496,539.69, 685,105.34 and 292,598.97

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Solution

The fourth proportional to 496,539.69, 685,105.34 and 292,598.97 is: 403,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,539.69 : 685,105.34 = 292,598.97 : x
  2. Step 2: Convert to fraction form
    496,539.69/685,105.34 = 292,598.97/x
  3. Step 3: Cross multiply
    496,539.69x = 685,105.34 × 292,598.97
  4. Step 4: Simplify right side
    496,539.69x = 200,461,115,362.51
  5. Step 5: Solve for x
    x = 200,461,115,362.51/496,539.69
  6. Step 6: Final answer
    x = 403,716.20

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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.