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Finding the Fourth Proportional to 415,640.72, 623,267.31 and 215,907.50

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Solution

The fourth proportional to 415,640.72, 623,267.31 and 215,907.50 is: 323,760.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,640.72 : 623,267.31 = 215,907.50 : x
  2. Step 2: Convert to fraction form
    415,640.72/623,267.31 = 215,907.50/x
  3. Step 3: Cross multiply
    415,640.72x = 623,267.31 × 215,907.50
  4. Step 4: Simplify right side
    415,640.72x = 134,568,086,733.83
  5. Step 5: Solve for x
    x = 134,568,086,733.83/415,640.72
  6. Step 6: Final answer
    x = 323,760.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.