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Finding the Fourth Proportional to 462,383.40, 693,114.30 and 212,629.80

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Solution

The fourth proportional to 462,383.40, 693,114.30 and 212,629.80 is: 318,732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,383.40 : 693,114.30 = 212,629.80 : x
  2. Step 2: Convert to fraction form
    462,383.40/693,114.30 = 212,629.80/x
  3. Step 3: Cross multiply
    462,383.40x = 693,114.30 × 212,629.80
  4. Step 4: Simplify right side
    462,383.40x = 147,376,754,986.14
  5. Step 5: Solve for x
    x = 147,376,754,986.14/462,383.40
  6. Step 6: Final answer
    x = 318,732.80

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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.