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Finding the Fourth Proportional to 405,175.68, 559,140.30 and 223,900.20

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Solution

The fourth proportional to 405,175.68, 559,140.30 and 223,900.20 is: 308,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,175.68 : 559,140.30 = 223,900.20 : x
  2. Step 2: Convert to fraction form
    405,175.68/559,140.30 = 223,900.20/x
  3. Step 3: Cross multiply
    405,175.68x = 559,140.30 × 223,900.20
  4. Step 4: Simplify right side
    405,175.68x = 125,191,624,998.06
  5. Step 5: Solve for x
    x = 125,191,624,998.06/405,175.68
  6. Step 6: Final answer
    x = 308,981.09

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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.