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Finding the Fourth Proportional to 358,222.74, 494,347.39 and 197,074.33

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Solution

The fourth proportional to 358,222.74, 494,347.39 and 197,074.33 is: 271,962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,222.74 : 494,347.39 = 197,074.33 : x
  2. Step 2: Convert to fraction form
    358,222.74/494,347.39 = 197,074.33/x
  3. Step 3: Cross multiply
    358,222.74x = 494,347.39 × 197,074.33
  4. Step 4: Simplify right side
    358,222.74x = 97,423,180,671.50
  5. Step 5: Solve for x
    x = 97,423,180,671.50/358,222.74
  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.