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Finding the Fourth Proportional to 496,147.41, 684,734.22 and 292,262.49

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Solution

The fourth proportional to 496,147.41, 684,734.22 and 292,262.49 is: 403,352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,147.41 : 684,734.22 = 292,262.49 : x
  2. Step 2: Convert to fraction form
    496,147.41/684,734.22 = 292,262.49/x
  3. Step 3: Cross multiply
    496,147.41x = 684,734.22 × 292,262.49
  4. Step 4: Simplify right side
    496,147.41x = 200,122,128,125.41
  5. Step 5: Solve for x
    x = 200,122,128,125.41/496,147.41
  6. Step 6: Final answer
    x = 403,352.16

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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.