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Finding the Fourth Proportional to 467,709.80, 701,668.50 and 218,255.72

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Solution

The fourth proportional to 467,709.80, 701,668.50 and 218,255.72 is: 327,432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,709.80 : 701,668.50 = 218,255.72 : x
  2. Step 2: Convert to fraction form
    467,709.80/701,668.50 = 218,255.72/x
  3. Step 3: Cross multiply
    467,709.80x = 701,668.50 × 218,255.72
  4. Step 4: Simplify right side
    467,709.80x = 153,143,163,668.82
  5. Step 5: Solve for x
    x = 153,143,163,668.82/467,709.80
  6. Step 6: Final answer
    x = 327,432.02

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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.