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Finding the Fourth Proportional to 265,911.80, 399,085.30 and 263,838.20

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Solution

The fourth proportional to 265,911.80, 399,085.30 and 263,838.20 is: 395,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,911.80 : 399,085.30 = 263,838.20 : x
  2. Step 2: Convert to fraction form
    265,911.80/399,085.30 = 263,838.20/x
  3. Step 3: Cross multiply
    265,911.80x = 399,085.30 × 263,838.20
  4. Step 4: Simplify right side
    265,911.80x = 105,293,947,198.46
  5. Step 5: Solve for x
    x = 105,293,947,198.46/265,911.80
  6. Step 6: Final answer
    x = 395,973.20

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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.