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Finding the Fourth Proportional to 358,314, 494,458.36 and 194,971.14

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Solution

The fourth proportional to 358,314, 494,458.36 and 194,971.14 is: 269,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,314 : 494,458.36 = 194,971.14 : x
  2. Step 2: Convert to fraction form
    358,314/494,458.36 = 194,971.14/x
  3. Step 3: Cross multiply
    358,314x = 494,458.36 × 194,971.14
  4. Step 4: Simplify right side
    358,314x = 96,405,110,131.73
  5. Step 5: Solve for x
    x = 96,405,110,131.73/358,314
  6. Step 6: Final answer
    x = 269,052.03

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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.