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Finding the Fourth Proportional to 337,407, 465,622.47 and 186,504

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Solution

The fourth proportional to 337,407, 465,622.47 and 186,504 is: 257,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,407 : 465,622.47 = 186,504 : x
  2. Step 2: Convert to fraction form
    337,407/465,622.47 = 186,504/x
  3. Step 3: Cross multiply
    337,407x = 465,622.47 × 186,504
  4. Step 4: Simplify right side
    337,407x = 86,840,453,144.88
  5. Step 5: Solve for x
    x = 86,840,453,144.88/337,407
  6. Step 6: Final answer
    x = 257,375.97

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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.