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Finding the Fourth Proportional to 462,186.98, 692,821.20 and 321,650.36

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Solution

The fourth proportional to 462,186.98, 692,821.20 and 321,650.36 is: 482,155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,186.98 : 692,821.20 = 321,650.36 : x
  2. Step 2: Convert to fraction form
    462,186.98/692,821.20 = 321,650.36/x
  3. Step 3: Cross multiply
    462,186.98x = 692,821.20 × 321,650.36
  4. Step 4: Simplify right side
    462,186.98x = 222,846,188,395.63
  5. Step 5: Solve for x
    x = 222,846,188,395.63/462,186.98
  6. Step 6: Final answer
    x = 482,155.92

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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.