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Finding the Fourth Proportional to 519,205.26, 778,851.63 and 164,211.42

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Solution

The fourth proportional to 519,205.26, 778,851.63 and 164,211.42 is: 246,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,205.26 : 778,851.63 = 164,211.42 : x
  2. Step 2: Convert to fraction form
    519,205.26/778,851.63 = 164,211.42/x
  3. Step 3: Cross multiply
    519,205.26x = 778,851.63 × 164,211.42
  4. Step 4: Simplify right side
    519,205.26x = 127,896,332,131.62
  5. Step 5: Solve for x
    x = 127,896,332,131.62/519,205.26
  6. Step 6: Final answer
    x = 246,330.96

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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.