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Finding the Fourth Proportional to 396,385.30, 594,355.07 and 130,123.50

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Solution

The fourth proportional to 396,385.30, 594,355.07 and 130,123.50 is: 195,112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,385.30 : 594,355.07 = 130,123.50 : x
  2. Step 2: Convert to fraction form
    396,385.30/594,355.07 = 130,123.50/x
  3. Step 3: Cross multiply
    396,385.30x = 594,355.07 × 130,123.50
  4. Step 4: Simplify right side
    396,385.30x = 77,339,558,328.75
  5. Step 5: Solve for x
    x = 77,339,558,328.75/396,385.30
  6. Step 6: Final answer
    x = 195,112.07

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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.