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Finding the Fourth Proportional to 323,962.80, 447,069.42 and 180,732.12

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Solution

The fourth proportional to 323,962.80, 447,069.42 and 180,732.12 is: 249,410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,962.80 : 447,069.42 = 180,732.12 : x
  2. Step 2: Convert to fraction form
    323,962.80/447,069.42 = 180,732.12/x
  3. Step 3: Cross multiply
    323,962.80x = 447,069.42 × 180,732.12
  4. Step 4: Simplify right side
    323,962.80x = 80,799,804,063.77
  5. Step 5: Solve for x
    x = 80,799,804,063.77/323,962.80
  6. Step 6: Final answer
    x = 249,410.75

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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.