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Finding the Fourth Proportional to 492,896.40, 691,921.20 and 492,896.40

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Solution

The fourth proportional to 492,896.40, 691,921.20 and 492,896.40 is: 691,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,896.40 : 691,921.20 = 492,896.40 : x
  2. Step 2: Convert to fraction form
    492,896.40/691,921.20 = 492,896.40/x
  3. Step 3: Cross multiply
    492,896.40x = 691,921.20 × 492,896.40
  4. Step 4: Simplify right side
    492,896.40x = 341,045,468,563.68
  5. Step 5: Solve for x
    x = 341,045,468,563.68/492,896.40
  6. Step 6: Final answer
    x = 691,921.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.