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Finding the Fourth Proportional to 333,279, 459,934.08 and 204,215.16

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Solution

The fourth proportional to 333,279, 459,934.08 and 204,215.16 is: 281,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,279 : 459,934.08 = 204,215.16 : x
  2. Step 2: Convert to fraction form
    333,279/459,934.08 = 204,215.16/x
  3. Step 3: Cross multiply
    333,279x = 459,934.08 × 204,215.16
  4. Step 4: Simplify right side
    333,279x = 93,925,511,736.65
  5. Step 5: Solve for x
    x = 93,925,511,736.65/333,279
  6. Step 6: Final answer
    x = 281,822.47

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