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Finding the Fourth Proportional to 358,226, 494,351.88 and 197,077.60

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Solution

The fourth proportional to 358,226, 494,351.88 and 197,077.60 is: 271,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,226 : 494,351.88 = 197,077.60 : x
  2. Step 2: Convert to fraction form
    358,226/494,351.88 = 197,077.60/x
  3. Step 3: Cross multiply
    358,226x = 494,351.88 × 197,077.60
  4. Step 4: Simplify right side
    358,226x = 97,425,682,065.89
  5. Step 5: Solve for x
    x = 97,425,682,065.89/358,226
  6. Step 6: Final answer
    x = 271,967.09

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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.