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Finding the Fourth Proportional to 338,568.96, 467,223.84 and 185,608

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Solution

The fourth proportional to 338,568.96, 467,223.84 and 185,608 is: 256,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,568.96 : 467,223.84 = 185,608 : x
  2. Step 2: Convert to fraction form
    338,568.96/467,223.84 = 185,608/x
  3. Step 3: Cross multiply
    338,568.96x = 467,223.84 × 185,608
  4. Step 4: Simplify right side
    338,568.96x = 86,720,482,494.72
  5. Step 5: Solve for x
    x = 86,720,482,494.72/338,568.96
  6. Step 6: Final answer
    x = 256,138.31

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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.