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Finding the Fourth Proportional to 396,586.54, 595,470.21 and 160,390.54

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Solution

The fourth proportional to 396,586.54, 595,470.21 and 160,390.54 is: 240,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,586.54 : 595,470.21 = 160,390.54 : x
  2. Step 2: Convert to fraction form
    396,586.54/595,470.21 = 160,390.54/x
  3. Step 3: Cross multiply
    396,586.54x = 595,470.21 × 160,390.54
  4. Step 4: Simplify right side
    396,586.54x = 95,507,788,535.81
  5. Step 5: Solve for x
    x = 95,507,788,535.81/396,586.54
  6. Step 6: Final answer
    x = 240,824.58

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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.