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Finding the Fourth Proportional to 470,951.14, 649,892.81 and 267,015.78

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Solution

The fourth proportional to 470,951.14, 649,892.81 and 267,015.78 is: 368,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,951.14 : 649,892.81 = 267,015.78 : x
  2. Step 2: Convert to fraction form
    470,951.14/649,892.81 = 267,015.78/x
  3. Step 3: Cross multiply
    470,951.14x = 649,892.81 × 267,015.78
  4. Step 4: Simplify right side
    470,951.14x = 173,531,637,989.73
  5. Step 5: Solve for x
    x = 173,531,637,989.73/470,951.14
  6. Step 6: Final answer
    x = 368,470.57

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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.