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Finding the Fourth Proportional to 496,538.82, 685,364.22 and 292,708.26

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Solution

The fourth proportional to 496,538.82, 685,364.22 and 292,708.26 is: 404,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,538.82 : 685,364.22 = 292,708.26 : x
  2. Step 2: Convert to fraction form
    496,538.82/685,364.22 = 292,708.26/x
  3. Step 3: Cross multiply
    496,538.82x = 685,364.22 × 292,708.26
  4. Step 4: Simplify right side
    496,538.82x = 200,611,768,302.46
  5. Step 5: Solve for x
    x = 200,611,768,302.46/496,538.82
  6. Step 6: Final answer
    x = 404,020.31

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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.