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Finding the Fourth Proportional to 492,844.20, 739,266.30 and 177,311.40

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Solution

The fourth proportional to 492,844.20, 739,266.30 and 177,311.40 is: 265,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,844.20 : 739,266.30 = 177,311.40 : x
  2. Step 2: Convert to fraction form
    492,844.20/739,266.30 = 177,311.40/x
  3. Step 3: Cross multiply
    492,844.20x = 739,266.30 × 177,311.40
  4. Step 4: Simplify right side
    492,844.20x = 131,080,342,625.82
  5. Step 5: Solve for x
    x = 131,080,342,625.82/492,844.20
  6. Step 6: Final answer
    x = 265,967.10

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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.