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Finding the Fourth Proportional to 492,796.50, 739,274.64 and 193,114.60

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Solution

The fourth proportional to 492,796.50, 739,274.64 and 193,114.60 is: 289,703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,796.50 : 739,274.64 = 193,114.60 : x
  2. Step 2: Convert to fraction form
    492,796.50/739,274.64 = 193,114.60/x
  3. Step 3: Cross multiply
    492,796.50x = 739,274.64 × 193,114.60
  4. Step 4: Simplify right side
    492,796.50x = 142,764,726,393.74
  5. Step 5: Solve for x
    x = 142,764,726,393.74/492,796.50
  6. Step 6: Final answer
    x = 289,703.21

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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.