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Finding the Fourth Proportional to 277,853.56, 416,590.60 and 133,683.28

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Solution

The fourth proportional to 277,853.56, 416,590.60 and 133,683.28 is: 200,433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,853.56 : 416,590.60 = 133,683.28 : x
  2. Step 2: Convert to fraction form
    277,853.56/416,590.60 = 133,683.28/x
  3. Step 3: Cross multiply
    277,853.56x = 416,590.60 × 133,683.28
  4. Step 4: Simplify right side
    277,853.56x = 55,691,197,825.17
  5. Step 5: Solve for x
    x = 55,691,197,825.17/277,853.56
  6. Step 6: Final answer
    x = 200,433.63

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1.5x scale

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.