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Finding the Fourth Proportional to 519,327.43, 778,913.17 and 164,295.31

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Solution

The fourth proportional to 519,327.43, 778,913.17 and 164,295.31 is: 246,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,327.43 : 778,913.17 = 164,295.31 : x
  2. Step 2: Convert to fraction form
    519,327.43/778,913.17 = 164,295.31/x
  3. Step 3: Cross multiply
    519,327.43x = 778,913.17 × 164,295.31
  4. Step 4: Simplify right side
    519,327.43x = 127,971,780,728.23
  5. Step 5: Solve for x
    x = 127,971,780,728.23/519,327.43
  6. Step 6: Final answer
    x = 246,418.30

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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.