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Finding the Fourth Proportional to 467,257.80, 701,664.30 and 257,046.60

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Solution

The fourth proportional to 467,257.80, 701,664.30 and 257,046.60 is: 385,997.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,257.80 : 701,664.30 = 257,046.60 : x
  2. Step 2: Convert to fraction form
    467,257.80/701,664.30 = 257,046.60/x
  3. Step 3: Cross multiply
    467,257.80x = 701,664.30 × 257,046.60
  4. Step 4: Simplify right side
    467,257.80x = 180,360,422,656.38
  5. Step 5: Solve for x
    x = 180,360,422,656.38/467,257.80
  6. Step 6: Final answer
    x = 385,997.67

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Why These Related Problems?

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