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Finding the Fourth Proportional to 323,205.82, 484,583.88 and 143,193.58

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Solution

The fourth proportional to 323,205.82, 484,583.88 and 143,193.58 is: 214,690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,205.82 : 484,583.88 = 143,193.58 : x
  2. Step 2: Convert to fraction form
    323,205.82/484,583.88 = 143,193.58/x
  3. Step 3: Cross multiply
    323,205.82x = 484,583.88 × 143,193.58
  4. Step 4: Simplify right side
    323,205.82x = 69,389,300,587.49
  5. Step 5: Solve for x
    x = 69,389,300,587.49/323,205.82
  6. Step 6: Final answer
    x = 214,690.75

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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.