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Finding the Fourth Proportional to 277,736.64, 416,270.88 and 159,483.84

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Solution

The fourth proportional to 277,736.64, 416,270.88 and 159,483.84 is: 239,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,736.64 : 416,270.88 = 159,483.84 : x
  2. Step 2: Convert to fraction form
    277,736.64/416,270.88 = 159,483.84/x
  3. Step 3: Cross multiply
    277,736.64x = 416,270.88 × 159,483.84
  4. Step 4: Simplify right side
    277,736.64x = 66,388,478,422.58
  5. Step 5: Solve for x
    x = 66,388,478,422.58/277,736.64
  6. Step 6: Final answer
    x = 239,033.92

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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.