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Finding the Fourth Proportional to 277,227.36, 416,541.72 and 266,017.36

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Solution

The fourth proportional to 277,227.36, 416,541.72 and 266,017.36 is: 399,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,227.36 : 416,541.72 = 266,017.36 : x
  2. Step 2: Convert to fraction form
    277,227.36/416,541.72 = 266,017.36/x
  3. Step 3: Cross multiply
    277,227.36x = 416,541.72 × 266,017.36
  4. Step 4: Simplify right side
    277,227.36x = 110,807,328,684.26
  5. Step 5: Solve for x
    x = 110,807,328,684.26/277,227.36
  6. Step 6: Final answer
    x = 399,698.39

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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.