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Finding the Fourth Proportional to 262,831.80, 394,442.10 and 174,055.80

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Solution

The fourth proportional to 262,831.80, 394,442.10 and 174,055.80 is: 261,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,831.80 : 394,442.10 = 174,055.80 : x
  2. Step 2: Convert to fraction form
    262,831.80/394,442.10 = 174,055.80/x
  3. Step 3: Cross multiply
    262,831.80x = 394,442.10 × 174,055.80
  4. Step 4: Simplify right side
    262,831.80x = 68,654,935,269.18
  5. Step 5: Solve for x
    x = 68,654,935,269.18/262,831.80
  6. Step 6: Final answer
    x = 261,212.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.