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Finding the Fourth Proportional to 358,222.75, 494,347.38 and 197,074.34

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Solution

The fourth proportional to 358,222.75, 494,347.38 and 197,074.34 is: 271,962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,222.75 : 494,347.38 = 197,074.34 : x
  2. Step 2: Convert to fraction form
    358,222.75/494,347.38 = 197,074.34/x
  3. Step 3: Cross multiply
    358,222.75x = 494,347.38 × 197,074.34
  4. Step 4: Simplify right side
    358,222.75x = 97,423,183,644.23
  5. Step 5: Solve for x
    x = 97,423,183,644.23/358,222.75
  6. Step 6: Final answer
    x = 271,962.58

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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.