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Finding the Fourth Proportional to 277,103.81, 414,617.74 and 197,326.15

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Solution

The fourth proportional to 277,103.81, 414,617.74 and 197,326.15 is: 295,250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,103.81 : 414,617.74 = 197,326.15 : x
  2. Step 2: Convert to fraction form
    277,103.81/414,617.74 = 197,326.15/x
  3. Step 3: Cross multiply
    277,103.81x = 414,617.74 × 197,326.15
  4. Step 4: Simplify right side
    277,103.81x = 81,814,922,355.90
  5. Step 5: Solve for x
    x = 81,814,922,355.90/277,103.81
  6. Step 6: Final answer
    x = 295,250.08

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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.