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Finding the Fourth Proportional to 277,206.60, 414,935.10 and 268,458.60

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Solution

The fourth proportional to 277,206.60, 414,935.10 and 268,458.60 is: 401,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,206.60 : 414,935.10 = 268,458.60 : x
  2. Step 2: Convert to fraction form
    277,206.60/414,935.10 = 268,458.60/x
  3. Step 3: Cross multiply
    277,206.60x = 414,935.10 × 268,458.60
  4. Step 4: Simplify right side
    277,206.60x = 111,392,896,036.86
  5. Step 5: Solve for x
    x = 111,392,896,036.86/277,206.60
  6. Step 6: Final answer
    x = 401,840.71

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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.