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Finding the Fourth Proportional to 338,977, 467,787 and 186,017.77

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Solution

The fourth proportional to 338,977, 467,787 and 186,017.77 is: 256,703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,977 : 467,787 = 186,017.77 : x
  2. Step 2: Convert to fraction form
    338,977/467,787 = 186,017.77/x
  3. Step 3: Cross multiply
    338,977x = 467,787 × 186,017.77
  4. Step 4: Simplify right side
    338,977x = 87,016,694,574.99
  5. Step 5: Solve for x
    x = 87,016,694,574.99/338,977
  6. Step 6: Final answer
    x = 256,703.83

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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.