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Finding the Fourth Proportional to 307,406.80, 424,254 and 180,189.28

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Solution

The fourth proportional to 307,406.80, 424,254 and 180,189.28 is: 248,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,406.80 : 424,254 = 180,189.28 : x
  2. Step 2: Convert to fraction form
    307,406.80/424,254 = 180,189.28/x
  3. Step 3: Cross multiply
    307,406.80x = 424,254 × 180,189.28
  4. Step 4: Simplify right side
    307,406.80x = 76,446,022,797.12
  5. Step 5: Solve for x
    x = 76,446,022,797.12/307,406.80
  6. Step 6: Final answer
    x = 248,680.32

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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.