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Finding the Fourth Proportional to 325,942.94, 489,054.86 and 176,288.60

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Solution

The fourth proportional to 325,942.94, 489,054.86 and 176,288.60 is: 264,508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,942.94 : 489,054.86 = 176,288.60 : x
  2. Step 2: Convert to fraction form
    325,942.94/489,054.86 = 176,288.60/x
  3. Step 3: Cross multiply
    325,942.94x = 489,054.86 × 176,288.60
  4. Step 4: Simplify right side
    325,942.94x = 86,214,798,586.50
  5. Step 5: Solve for x
    x = 86,214,798,586.50/325,942.94
  6. Step 6: Final answer
    x = 264,508.87

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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.