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Finding the Fourth Proportional to 405,122.58, 559,080.44 and 223,846.20

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Solution

The fourth proportional to 405,122.58, 559,080.44 and 223,846.20 is: 308,913.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,122.58 : 559,080.44 = 223,846.20 : x
  2. Step 2: Convert to fraction form
    405,122.58/559,080.44 = 223,846.20/x
  3. Step 3: Cross multiply
    405,122.58x = 559,080.44 × 223,846.20
  4. Step 4: Simplify right side
    405,122.58x = 125,148,030,869.10
  5. Step 5: Solve for x
    x = 125,148,030,869.10/405,122.58
  6. Step 6: Final answer
    x = 308,913.99

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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.