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Finding the Fourth Proportional to 420,908.35, 580,831.86 and 229,884.84

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Solution

The fourth proportional to 420,908.35, 580,831.86 and 229,884.84 is: 317,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,908.35 : 580,831.86 = 229,884.84 : x
  2. Step 2: Convert to fraction form
    420,908.35/580,831.86 = 229,884.84/x
  3. Step 3: Cross multiply
    420,908.35x = 580,831.86 × 229,884.84
  4. Step 4: Simplify right side
    420,908.35x = 133,524,439,203.00
  5. Step 5: Solve for x
    x = 133,524,439,203.00/420,908.35
  6. Step 6: Final answer
    x = 317,229.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.