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Finding the Fourth Proportional to 554,400, 831,651.84 and 180,322.56

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Solution

The fourth proportional to 554,400, 831,651.84 and 180,322.56 is: 270,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,400 : 831,651.84 = 180,322.56 : x
  2. Step 2: Convert to fraction form
    554,400/831,651.84 = 180,322.56/x
  3. Step 3: Cross multiply
    554,400x = 831,651.84 × 180,322.56
  4. Step 4: Simplify right side
    554,400x = 149,965,588,817.51
  5. Step 5: Solve for x
    x = 149,965,588,817.51/554,400
  6. Step 6: Final answer
    x = 270,500.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.