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Finding the Fourth Proportional to 358,106.74, 494,021.63 and 214,617.67

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Solution

The fourth proportional to 358,106.74, 494,021.63 and 214,617.67 is: 296,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,106.74 : 494,021.63 = 214,617.67 : x
  2. Step 2: Convert to fraction form
    358,106.74/494,021.63 = 214,617.67/x
  3. Step 3: Cross multiply
    358,106.74x = 494,021.63 × 214,617.67
  4. Step 4: Simplify right side
    358,106.74x = 106,025,770,461.69
  5. Step 5: Solve for x
    x = 106,025,770,461.69/358,106.74
  6. Step 6: Final answer
    x = 296,073.10

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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.