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Finding the Fourth Proportional to 470,610.59, 649,446.73 and 255,750.64

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Solution

The fourth proportional to 470,610.59, 649,446.73 and 255,750.64 is: 352,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,610.59 : 649,446.73 = 255,750.64 : x
  2. Step 2: Convert to fraction form
    470,610.59/649,446.73 = 255,750.64/x
  3. Step 3: Cross multiply
    470,610.59x = 649,446.73 × 255,750.64
  4. Step 4: Simplify right side
    470,610.59x = 166,096,414,580.41
  5. Step 5: Solve for x
    x = 166,096,414,580.41/470,610.59
  6. Step 6: Final answer
    x = 352,938.12

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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.