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Finding the Fourth Proportional to 496,356.88, 684,605.88 and 314,912.56

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Solution

The fourth proportional to 496,356.88, 684,605.88 and 314,912.56 is: 434,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,356.88 : 684,605.88 = 314,912.56 : x
  2. Step 2: Convert to fraction form
    496,356.88/684,605.88 = 314,912.56/x
  3. Step 3: Cross multiply
    496,356.88x = 684,605.88 × 314,912.56
  4. Step 4: Simplify right side
    496,356.88x = 215,590,990,261.85
  5. Step 5: Solve for x
    x = 215,590,990,261.85/496,356.88
  6. Step 6: Final answer
    x = 434,346.74

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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.