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Finding the Fourth Proportional to 471,428.96, 650,640.52 and 264,720.55

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Solution

The fourth proportional to 471,428.96, 650,640.52 and 264,720.55 is: 365,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,428.96 : 650,640.52 = 264,720.55 : x
  2. Step 2: Convert to fraction form
    471,428.96/650,640.52 = 264,720.55/x
  3. Step 3: Cross multiply
    471,428.96x = 650,640.52 × 264,720.55
  4. Step 4: Simplify right side
    471,428.96x = 172,237,916,306.69
  5. Step 5: Solve for x
    x = 172,237,916,306.69/471,428.96
  6. Step 6: Final answer
    x = 365,352.85

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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.