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Finding the Fourth Proportional to 277,416.44, 416,126.44 and 90,427.96

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Solution

The fourth proportional to 277,416.44, 416,126.44 and 90,427.96 is: 135,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,416.44 : 416,126.44 = 90,427.96 : x
  2. Step 2: Convert to fraction form
    277,416.44/416,126.44 = 90,427.96/x
  3. Step 3: Cross multiply
    277,416.44x = 416,126.44 × 90,427.96
  4. Step 4: Simplify right side
    277,416.44x = 37,629,465,071.26
  5. Step 5: Solve for x
    x = 37,629,465,071.26/277,416.44
  6. Step 6: Final answer
    x = 135,642.52

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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.