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Finding the Fourth Proportional to 396,013.48, 593,881.98 and 159,294.76

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Solution

The fourth proportional to 396,013.48, 593,881.98 and 159,294.76 is: 238,886.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,013.48 : 593,881.98 = 159,294.76 : x
  2. Step 2: Convert to fraction form
    396,013.48/593,881.98 = 159,294.76/x
  3. Step 3: Cross multiply
    396,013.48x = 593,881.98 × 159,294.76
  4. Step 4: Simplify right side
    396,013.48x = 94,602,287,472.42
  5. Step 5: Solve for x
    x = 94,602,287,472.42/396,013.48
  6. Step 6: Final answer
    x = 238,886.53

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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.