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Finding the Fourth Proportional to 462,951.10, 693,708.36 and 321,073.12

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Solution

The fourth proportional to 462,951.10, 693,708.36 and 321,073.12 is: 481,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,951.10 : 693,708.36 = 321,073.12 : x
  2. Step 2: Convert to fraction form
    462,951.10/693,708.36 = 321,073.12/x
  3. Step 3: Cross multiply
    462,951.10x = 693,708.36 × 321,073.12
  4. Step 4: Simplify right side
    462,951.10x = 222,731,107,515.28
  5. Step 5: Solve for x
    x = 222,731,107,515.28/462,951.10
  6. Step 6: Final answer
    x = 481,111.52

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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.