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Finding the Fourth Proportional to 417,993.66, 576,831.24 and 227,007

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Solution

The fourth proportional to 417,993.66, 576,831.24 and 227,007 is: 313,269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,993.66 : 576,831.24 = 227,007 : x
  2. Step 2: Convert to fraction form
    417,993.66/576,831.24 = 227,007/x
  3. Step 3: Cross multiply
    417,993.66x = 576,831.24 × 227,007
  4. Step 4: Simplify right side
    417,993.66x = 130,944,729,298.68
  5. Step 5: Solve for x
    x = 130,944,729,298.68/417,993.66
  6. Step 6: Final answer
    x = 313,269.65

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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.