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Finding the Fourth Proportional to 496,139.38, 684,589.32 and 292,230.90

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Solution

The fourth proportional to 496,139.38, 684,589.32 and 292,230.90 is: 403,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,139.38 : 684,589.32 = 292,230.90 : x
  2. Step 2: Convert to fraction form
    496,139.38/684,589.32 = 292,230.90/x
  3. Step 3: Cross multiply
    496,139.38x = 684,589.32 × 292,230.90
  4. Step 4: Simplify right side
    496,139.38x = 200,058,153,113.99
  5. Step 5: Solve for x
    x = 200,058,153,113.99/496,139.38
  6. Step 6: Final answer
    x = 403,229.74

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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.