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Finding the Fourth Proportional to 456,871.67, 684,558.43 and 323,512.52

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Solution

The fourth proportional to 456,871.67, 684,558.43 and 323,512.52 is: 484,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,871.67 : 684,558.43 = 323,512.52 : x
  2. Step 2: Convert to fraction form
    456,871.67/684,558.43 = 323,512.52/x
  3. Step 3: Cross multiply
    456,871.67x = 684,558.43 × 323,512.52
  4. Step 4: Simplify right side
    456,871.67x = 221,463,222,776.54
  5. Step 5: Solve for x
    x = 221,463,222,776.54/456,871.67
  6. Step 6: Final answer
    x = 484,738.36

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Why These Related Problems?

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