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Finding the Fourth Proportional to 369,525.82, 509,946.94 and 199,759.94

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Solution

The fourth proportional to 369,525.82, 509,946.94 and 199,759.94 is: 275,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,525.82 : 509,946.94 = 199,759.94 : x
  2. Step 2: Convert to fraction form
    369,525.82/509,946.94 = 199,759.94/x
  3. Step 3: Cross multiply
    369,525.82x = 509,946.94 × 199,759.94
  4. Step 4: Simplify right side
    369,525.82x = 101,866,970,137.58
  5. Step 5: Solve for x
    x = 101,866,970,137.58/369,525.82
  6. Step 6: Final answer
    x = 275,669.42

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1.5x scale

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.