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Finding the Fourth Proportional to 462,334.80, 693,732.60 and 262,808.40

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Solution

The fourth proportional to 462,334.80, 693,732.60 and 262,808.40 is: 394,343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,334.80 : 693,732.60 = 262,808.40 : x
  2. Step 2: Convert to fraction form
    462,334.80/693,732.60 = 262,808.40/x
  3. Step 3: Cross multiply
    462,334.80x = 693,732.60 × 262,808.40
  4. Step 4: Simplify right side
    462,334.80x = 182,318,754,633.84
  5. Step 5: Solve for x
    x = 182,318,754,633.84/462,334.80
  6. Step 6: Final answer
    x = 394,343.57

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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.