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Finding the Fourth Proportional to 335,186.44, 462,706.40 and 199,264.40

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Solution

The fourth proportional to 335,186.44, 462,706.40 and 199,264.40 is: 275,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,186.44 : 462,706.40 = 199,264.40 : x
  2. Step 2: Convert to fraction form
    335,186.44/462,706.40 = 199,264.40/x
  3. Step 3: Cross multiply
    335,186.44x = 462,706.40 × 199,264.40
  4. Step 4: Simplify right side
    335,186.44x = 92,200,913,172.16
  5. Step 5: Solve for x
    x = 92,200,913,172.16/335,186.44
  6. Step 6: Final answer
    x = 275,073.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.