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Finding the Fourth Proportional to 405,110.32, 559,004.58 and 223,811.44

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Solution

The fourth proportional to 405,110.32, 559,004.58 and 223,811.44 is: 308,833.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,110.32 : 559,004.58 = 223,811.44 : x
  2. Step 2: Convert to fraction form
    405,110.32/559,004.58 = 223,811.44/x
  3. Step 3: Cross multiply
    405,110.32x = 559,004.58 × 223,811.44
  4. Step 4: Simplify right side
    405,110.32x = 125,111,618,618.88
  5. Step 5: Solve for x
    x = 125,111,618,618.88/405,110.32
  6. Step 6: Final answer
    x = 308,833.45

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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.