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Finding the Fourth Proportional to 307,516.68, 424,415.16 and 180,243

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Solution

The fourth proportional to 307,516.68, 424,415.16 and 180,243 is: 248,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,516.68 : 424,415.16 = 180,243 : x
  2. Step 2: Convert to fraction form
    307,516.68/424,415.16 = 180,243/x
  3. Step 3: Cross multiply
    307,516.68x = 424,415.16 × 180,243
  4. Step 4: Simplify right side
    307,516.68x = 76,497,861,683.88
  5. Step 5: Solve for x
    x = 76,497,861,683.88/307,516.68
  6. Step 6: Final answer
    x = 248,760.04

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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.