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Finding the Fourth Proportional to 369,517.57, 509,934.25 and 199,751.70

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Solution

The fourth proportional to 369,517.57, 509,934.25 and 199,751.70 is: 275,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,517.57 : 509,934.25 = 199,751.70 : x
  2. Step 2: Convert to fraction form
    369,517.57/509,934.25 = 199,751.70/x
  3. Step 3: Cross multiply
    369,517.57x = 509,934.25 × 199,751.70
  4. Step 4: Simplify right side
    369,517.57x = 101,860,230,342.40
  5. Step 5: Solve for x
    x = 101,860,230,342.40/369,517.57
  6. Step 6: Final answer
    x = 275,657.34

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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.