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Finding the Fourth Proportional to 337,664, 465,990.96 and 186,761.12

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Solution

The fourth proportional to 337,664, 465,990.96 and 186,761.12 is: 257,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,664 : 465,990.96 = 186,761.12 : x
  2. Step 2: Convert to fraction form
    337,664/465,990.96 = 186,761.12/x
  3. Step 3: Cross multiply
    337,664x = 465,990.96 × 186,761.12
  4. Step 4: Simplify right side
    337,664x = 87,028,993,599.48
  5. Step 5: Solve for x
    x = 87,028,993,599.48/337,664
  6. Step 6: Final answer
    x = 257,738.44

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1.5x scale

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.