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Finding the Fourth Proportional to 470,345.37, 649,078.21 and 276,760.46

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Solution

The fourth proportional to 470,345.37, 649,078.21 and 276,760.46 is: 381,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,345.37 : 649,078.21 = 276,760.46 : x
  2. Step 2: Convert to fraction form
    470,345.37/649,078.21 = 276,760.46/x
  3. Step 3: Cross multiply
    470,345.37x = 649,078.21 × 276,760.46
  4. Step 4: Simplify right side
    470,345.37x = 179,639,185,944.22
  5. Step 5: Solve for x
    x = 179,639,185,944.22/470,345.37
  6. Step 6: Final answer
    x = 381,930.38

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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.