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Finding the Fourth Proportional to 358,106.36, 494,021.12 and 214,617.30

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Solution

The fourth proportional to 358,106.36, 494,021.12 and 214,617.30 is: 296,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,106.36 : 494,021.12 = 214,617.30 : x
  2. Step 2: Convert to fraction form
    358,106.36/494,021.12 = 214,617.30/x
  3. Step 3: Cross multiply
    358,106.36x = 494,021.12 × 214,617.30
  4. Step 4: Simplify right side
    358,106.36x = 106,025,478,917.38
  5. Step 5: Solve for x
    x = 106,025,478,917.38/358,106.36
  6. Step 6: Final answer
    x = 296,072.59

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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.