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Finding the Fourth Proportional to 492,847.60, 739,271.40 and 177,314.80

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Solution

The fourth proportional to 492,847.60, 739,271.40 and 177,314.80 is: 265,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,847.60 : 739,271.40 = 177,314.80 : x
  2. Step 2: Convert to fraction form
    492,847.60/739,271.40 = 177,314.80/x
  3. Step 3: Cross multiply
    492,847.60x = 739,271.40 × 177,314.80
  4. Step 4: Simplify right side
    492,847.60x = 131,083,760,436.72
  5. Step 5: Solve for x
    x = 131,083,760,436.72/492,847.60
  6. Step 6: Final answer
    x = 265,972.20

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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.