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Finding the Fourth Proportional to 405,955.60, 608,933.40 and 273,245.20

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Solution

The fourth proportional to 405,955.60, 608,933.40 and 273,245.20 is: 409,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,955.60 : 608,933.40 = 273,245.20 : x
  2. Step 2: Convert to fraction form
    405,955.60/608,933.40 = 273,245.20/x
  3. Step 3: Cross multiply
    405,955.60x = 608,933.40 × 273,245.20
  4. Step 4: Simplify right side
    405,955.60x = 166,388,128,669.68
  5. Step 5: Solve for x
    x = 166,388,128,669.68/405,955.60
  6. Step 6: Final answer
    x = 409,867.80

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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.