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Finding the Fourth Proportional to 395,119.38, 545,264.76 and 213,831.33

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Solution

The fourth proportional to 395,119.38, 545,264.76 and 213,831.33 is: 295,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,119.38 : 545,264.76 = 213,831.33 : x
  2. Step 2: Convert to fraction form
    395,119.38/545,264.76 = 213,831.33/x
  3. Step 3: Cross multiply
    395,119.38x = 545,264.76 × 213,831.33
  4. Step 4: Simplify right side
    395,119.38x = 116,594,688,832.93
  5. Step 5: Solve for x
    x = 116,594,688,832.93/395,119.38
  6. Step 6: Final answer
    x = 295,087.24

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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.