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Finding the Fourth Proportional to 662,069.92, 993,282 and 188,796.64

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Solution

The fourth proportional to 662,069.92, 993,282 and 188,796.64 is: 283,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,069.92 : 993,282 = 188,796.64 : x
  2. Step 2: Convert to fraction form
    662,069.92/993,282 = 188,796.64/x
  3. Step 3: Cross multiply
    662,069.92x = 993,282 × 188,796.64
  4. Step 4: Simplify right side
    662,069.92x = 187,528,304,172.48
  5. Step 5: Solve for x
    x = 187,528,304,172.48/662,069.92
  6. Step 6: Final answer
    x = 283,245.47

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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.