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Finding the Fourth Proportional to 323,907.84, 446,983.20 and 180,664.65

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Solution

The fourth proportional to 323,907.84, 446,983.20 and 180,664.65 is: 249,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,907.84 : 446,983.20 = 180,664.65 : x
  2. Step 2: Convert to fraction form
    323,907.84/446,983.20 = 180,664.65/x
  3. Step 3: Cross multiply
    323,907.84x = 446,983.20 × 180,664.65
  4. Step 4: Simplify right side
    323,907.84x = 80,754,063,383.88
  5. Step 5: Solve for x
    x = 80,754,063,383.88/323,907.84
  6. Step 6: Final answer
    x = 249,311.85

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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.