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Finding the Fourth Proportional to 496,230, 684,797.40 and 269,880.36

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Solution

The fourth proportional to 496,230, 684,797.40 and 269,880.36 is: 372,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,230 : 684,797.40 = 269,880.36 : x
  2. Step 2: Convert to fraction form
    496,230/684,797.40 = 269,880.36/x
  3. Step 3: Cross multiply
    496,230x = 684,797.40 × 269,880.36
  4. Step 4: Simplify right side
    496,230x = 184,813,368,839.06
  5. Step 5: Solve for x
    x = 184,813,368,839.06/496,230
  6. Step 6: Final answer
    x = 372,434.90

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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.