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Finding the Fourth Proportional to 470,610.38, 649,446.38 and 255,750.39

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Solution

The fourth proportional to 470,610.38, 649,446.38 and 255,750.39 is: 352,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,610.38 : 649,446.38 = 255,750.39 : x
  2. Step 2: Convert to fraction form
    470,610.38/649,446.38 = 255,750.39/x
  3. Step 3: Cross multiply
    470,610.38x = 649,446.38 × 255,750.39
  4. Step 4: Simplify right side
    470,610.38x = 166,096,164,969.09
  5. Step 5: Solve for x
    x = 166,096,164,969.09/470,610.38
  6. Step 6: Final answer
    x = 352,937.74

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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.