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Finding the Fourth Proportional to 314,550.63, 471,831.44 and 104,194.04

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Solution

The fourth proportional to 314,550.63, 471,831.44 and 104,194.04 is: 156,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,550.63 : 471,831.44 = 104,194.04 : x
  2. Step 2: Convert to fraction form
    314,550.63/471,831.44 = 104,194.04/x
  3. Step 3: Cross multiply
    314,550.63x = 471,831.44 × 104,194.04
  4. Step 4: Simplify right side
    314,550.63x = 49,162,021,052.49
  5. Step 5: Solve for x
    x = 49,162,021,052.49/314,550.63
  6. Step 6: Final answer
    x = 156,292.87

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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.