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Finding the Fourth Proportional to 398,814.20, 598,221.30 and 257,096.60

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Solution

The fourth proportional to 398,814.20, 598,221.30 and 257,096.60 is: 385,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,814.20 : 598,221.30 = 257,096.60 : x
  2. Step 2: Convert to fraction form
    398,814.20/598,221.30 = 257,096.60/x
  3. Step 3: Cross multiply
    398,814.20x = 598,221.30 × 257,096.60
  4. Step 4: Simplify right side
    398,814.20x = 153,800,662,277.58
  5. Step 5: Solve for x
    x = 153,800,662,277.58/398,814.20
  6. Step 6: Final answer
    x = 385,644.90

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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.