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Finding the Fourth Proportional to 338,976, 467,785.62 and 186,016.77

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Solution

The fourth proportional to 338,976, 467,785.62 and 186,016.77 is: 256,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,976 : 467,785.62 = 186,016.77 : x
  2. Step 2: Convert to fraction form
    338,976/467,785.62 = 186,016.77/x
  3. Step 3: Cross multiply
    338,976x = 467,785.62 × 186,016.77
  4. Step 4: Simplify right side
    338,976x = 87,015,970,084.85
  5. Step 5: Solve for x
    x = 87,015,970,084.85/338,976
  6. Step 6: Final answer
    x = 256,702.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.