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Finding the Fourth Proportional to 337,662.36, 465,942.74 and 186,756.12

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Solution

The fourth proportional to 337,662.36, 465,942.74 and 186,756.12 is: 257,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,662.36 : 465,942.74 = 186,756.12 : x
  2. Step 2: Convert to fraction form
    337,662.36/465,942.74 = 186,756.12/x
  3. Step 3: Cross multiply
    337,662.36x = 465,942.74 × 186,756.12
  4. Step 4: Simplify right side
    337,662.36x = 87,017,658,264.57
  5. Step 5: Solve for x
    x = 87,017,658,264.57/337,662.36
  6. Step 6: Final answer
    x = 257,706.12

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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.