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Finding the Fourth Proportional to 337,320.72, 465,484.32 and 186,408

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Solution

The fourth proportional to 337,320.72, 465,484.32 and 186,408 is: 257,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,320.72 : 465,484.32 = 186,408 : x
  2. Step 2: Convert to fraction form
    337,320.72/465,484.32 = 186,408/x
  3. Step 3: Cross multiply
    337,320.72x = 465,484.32 × 186,408
  4. Step 4: Simplify right side
    337,320.72x = 86,770,001,122.56
  5. Step 5: Solve for x
    x = 86,770,001,122.56/337,320.72
  6. Step 6: Final answer
    x = 257,232.94

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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.