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Finding the Fourth Proportional to 338,234.88, 466,809.84 and 194,992.32

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Solution

The fourth proportional to 338,234.88, 466,809.84 and 194,992.32 is: 269,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,234.88 : 466,809.84 = 194,992.32 : x
  2. Step 2: Convert to fraction form
    338,234.88/466,809.84 = 194,992.32/x
  3. Step 3: Cross multiply
    338,234.88x = 466,809.84 × 194,992.32
  4. Step 4: Simplify right side
    338,234.88x = 91,024,333,700.43
  5. Step 5: Solve for x
    x = 91,024,333,700.43/338,234.88
  6. Step 6: Final answer
    x = 269,115.75

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1.5x scale

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.