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Finding the Fourth Proportional to 384,596.80, 576,949.86 and 118,379.50

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Solution

The fourth proportional to 384,596.80, 576,949.86 and 118,379.50 is: 177,586.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,596.80 : 576,949.86 = 118,379.50 : x
  2. Step 2: Convert to fraction form
    384,596.80/576,949.86 = 118,379.50/x
  3. Step 3: Cross multiply
    384,596.80x = 576,949.86 × 118,379.50
  4. Step 4: Simplify right side
    384,596.80x = 68,299,035,951.87
  5. Step 5: Solve for x
    x = 68,299,035,951.87/384,596.80
  6. Step 6: Final answer
    x = 177,586.07

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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.