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Finding the Fourth Proportional to 462,950.10, 693,706.86 and 321,072.12

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Solution

The fourth proportional to 462,950.10, 693,706.86 and 321,072.12 is: 481,110.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,950.10 : 693,706.86 = 321,072.12 : x
  2. Step 2: Convert to fraction form
    462,950.10/693,706.86 = 321,072.12/x
  3. Step 3: Cross multiply
    462,950.10x = 693,706.86 × 321,072.12
  4. Step 4: Simplify right side
    462,950.10x = 222,729,932,198.74
  5. Step 5: Solve for x
    x = 222,729,932,198.74/462,950.10
  6. Step 6: Final answer
    x = 481,110.02

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1.5x scale

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.