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Finding the Fourth Proportional to 277,477.60, 416,216.40 and 193,496.80

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Solution

The fourth proportional to 277,477.60, 416,216.40 and 193,496.80 is: 290,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,477.60 : 416,216.40 = 193,496.80 : x
  2. Step 2: Convert to fraction form
    277,477.60/416,216.40 = 193,496.80/x
  3. Step 3: Cross multiply
    277,477.60x = 416,216.40 × 193,496.80
  4. Step 4: Simplify right side
    277,477.60x = 80,536,541,507.52
  5. Step 5: Solve for x
    x = 80,536,541,507.52/277,477.60
  6. Step 6: Final answer
    x = 290,245.20

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