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Finding the Fourth Proportional to 405,800.16, 608,201.70 and 227,933.28

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Solution

The fourth proportional to 405,800.16, 608,201.70 and 227,933.28 is: 341,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,800.16 : 608,201.70 = 227,933.28 : x
  2. Step 2: Convert to fraction form
    405,800.16/608,201.70 = 227,933.28/x
  3. Step 3: Cross multiply
    405,800.16x = 608,201.70 × 227,933.28
  4. Step 4: Simplify right side
    405,800.16x = 138,629,408,382.58
  5. Step 5: Solve for x
    x = 138,629,408,382.58/405,800.16
  6. Step 6: Final answer
    x = 341,619.90

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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.