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Finding the Fourth Proportional to 432,286.26, 647,100.64 and 368,513.34

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Solution

The fourth proportional to 432,286.26, 647,100.64 and 368,513.34 is: 551,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,286.26 : 647,100.64 = 368,513.34 : x
  2. Step 2: Convert to fraction form
    432,286.26/647,100.64 = 368,513.34/x
  3. Step 3: Cross multiply
    432,286.26x = 647,100.64 × 368,513.34
  4. Step 4: Simplify right side
    432,286.26x = 238,465,218,162.54
  5. Step 5: Solve for x
    x = 238,465,218,162.54/432,286.26
  6. Step 6: Final answer
    x = 551,637.28

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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.