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Finding the Fourth Proportional to 277,205.60, 414,933.60 and 268,457.60

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Solution

The fourth proportional to 277,205.60, 414,933.60 and 268,457.60 is: 401,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,205.60 : 414,933.60 = 268,457.60 : x
  2. Step 2: Convert to fraction form
    277,205.60/414,933.60 = 268,457.60/x
  3. Step 3: Cross multiply
    277,205.60x = 414,933.60 × 268,457.60
  4. Step 4: Simplify right side
    277,205.60x = 111,392,078,415.36
  5. Step 5: Solve for x
    x = 111,392,078,415.36/277,205.60
  6. Step 6: Final answer
    x = 401,839.21

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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.