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Finding the Fourth Proportional to 662,463.98, 993,696.42 and 213,184.75

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Solution

The fourth proportional to 662,463.98, 993,696.42 and 213,184.75 is: 319,777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,463.98 : 993,696.42 = 213,184.75 : x
  2. Step 2: Convert to fraction form
    662,463.98/993,696.42 = 213,184.75/x
  3. Step 3: Cross multiply
    662,463.98x = 993,696.42 × 213,184.75
  4. Step 4: Simplify right side
    662,463.98x = 211,840,922,873.60
  5. Step 5: Solve for x
    x = 211,840,922,873.60/662,463.98
  6. Step 6: Final answer
    x = 319,777.27

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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.