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Finding the Fourth Proportional to 492,908.16, 739,491.84 and 193,406.88

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Solution

The fourth proportional to 492,908.16, 739,491.84 and 193,406.88 is: 290,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,908.16 : 739,491.84 = 193,406.88 : x
  2. Step 2: Convert to fraction form
    492,908.16/739,491.84 = 193,406.88/x
  3. Step 3: Cross multiply
    492,908.16x = 739,491.84 × 193,406.88
  4. Step 4: Simplify right side
    492,908.16x = 143,022,809,559.86
  5. Step 5: Solve for x
    x = 143,022,809,559.86/492,908.16
  6. Step 6: Final answer
    x = 290,161.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.