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Finding the Fourth Proportional to 307,750.57, 424,766.63 and 180,467.17

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Solution

The fourth proportional to 307,750.57, 424,766.63 and 180,467.17 is: 249,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,750.57 : 424,766.63 = 180,467.17 : x
  2. Step 2: Convert to fraction form
    307,750.57/424,766.63 = 180,467.17/x
  3. Step 3: Cross multiply
    307,750.57x = 424,766.63 × 180,467.17
  4. Step 4: Simplify right side
    307,750.57x = 76,656,431,015.79
  5. Step 5: Solve for x
    x = 76,656,431,015.79/307,750.57
  6. Step 6: Final answer
    x = 249,086.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.