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Finding the Fourth Proportional to 358,676.82, 494,956.74 and 197,538.66

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Solution

The fourth proportional to 358,676.82, 494,956.74 and 197,538.66 is: 272,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,676.82 : 494,956.74 = 197,538.66 : x
  2. Step 2: Convert to fraction form
    358,676.82/494,956.74 = 197,538.66/x
  3. Step 3: Cross multiply
    358,676.82x = 494,956.74 × 197,538.66
  4. Step 4: Simplify right side
    358,676.82x = 97,773,091,177.57
  5. Step 5: Solve for x
    x = 97,773,091,177.57/358,676.82
  6. Step 6: Final answer
    x = 272,593.84

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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.