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Finding the Fourth Proportional to 358,684.38, 494,967.15 and 197,546.22

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Solution

The fourth proportional to 358,684.38, 494,967.15 and 197,546.22 is: 272,604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,684.38 : 494,967.15 = 197,546.22 : x
  2. Step 2: Convert to fraction form
    358,684.38/494,967.15 = 197,546.22/x
  3. Step 3: Cross multiply
    358,684.38x = 494,967.15 × 197,546.22
  4. Step 4: Simplify right side
    358,684.38x = 97,778,889,506.67
  5. Step 5: Solve for x
    x = 97,778,889,506.67/358,684.38
  6. Step 6: Final answer
    x = 272,604.26

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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.