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Finding the Fourth Proportional to 396,926.34, 595,486.71 and 197,340.72

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Solution

The fourth proportional to 396,926.34, 595,486.71 and 197,340.72 is: 296,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,926.34 : 595,486.71 = 197,340.72 : x
  2. Step 2: Convert to fraction form
    396,926.34/595,486.71 = 197,340.72/x
  3. Step 3: Cross multiply
    396,926.34x = 595,486.71 × 197,340.72
  4. Step 4: Simplify right side
    396,926.34x = 117,513,776,101.83
  5. Step 5: Solve for x
    x = 117,513,776,101.83/396,926.34
  6. Step 6: Final answer
    x = 296,059.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.