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Finding the Fourth Proportional to 471,164.70, 650,220.23 and 264,445.94

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Solution

The fourth proportional to 471,164.70, 650,220.23 and 264,445.94 is: 364,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,164.70 : 650,220.23 = 264,445.94 : x
  2. Step 2: Convert to fraction form
    471,164.70/650,220.23 = 264,445.94/x
  3. Step 3: Cross multiply
    471,164.70x = 650,220.23 × 264,445.94
  4. Step 4: Simplify right side
    471,164.70x = 171,948,103,435.20
  5. Step 5: Solve for x
    x = 171,948,103,435.20/471,164.70
  6. Step 6: Final answer
    x = 364,942.67

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Why These Related Problems?

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