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Finding the Fourth Proportional to 358,205.31, 494,303.81 and 197,034.34

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Solution

The fourth proportional to 358,205.31, 494,303.81 and 197,034.34 is: 271,896.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,205.31 : 494,303.81 = 197,034.34 : x
  2. Step 2: Convert to fraction form
    358,205.31/494,303.81 = 197,034.34/x
  3. Step 3: Cross multiply
    358,205.31x = 494,303.81 × 197,034.34
  4. Step 4: Simplify right side
    358,205.31x = 97,394,823,977.66
  5. Step 5: Solve for x
    x = 97,394,823,977.66/358,205.31
  6. Step 6: Final answer
    x = 271,896.65

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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.