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Finding the Fourth Proportional to 470,836.56, 649,725.34 and 264,093.57

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Solution

The fourth proportional to 470,836.56, 649,725.34 and 264,093.57 is: 364,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,836.56 : 649,725.34 = 264,093.57 : x
  2. Step 2: Convert to fraction form
    470,836.56/649,725.34 = 264,093.57/x
  3. Step 3: Cross multiply
    470,836.56x = 649,725.34 × 264,093.57
  4. Step 4: Simplify right side
    470,836.56x = 171,588,286,336.30
  5. Step 5: Solve for x
    x = 171,588,286,336.30/470,836.56
  6. Step 6: Final answer
    x = 364,432.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.