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Finding the Fourth Proportional to 360,106.26, 496,951.86 and 198,965.04

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Solution

The fourth proportional to 360,106.26, 496,951.86 and 198,965.04 is: 274,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,106.26 : 496,951.86 = 198,965.04 : x
  2. Step 2: Convert to fraction form
    360,106.26/496,951.86 = 198,965.04/x
  3. Step 3: Cross multiply
    360,106.26x = 496,951.86 × 198,965.04
  4. Step 4: Simplify right side
    360,106.26x = 98,876,046,702.97
  5. Step 5: Solve for x
    x = 98,876,046,702.97/360,106.26
  6. Step 6: Final answer
    x = 274,574.64

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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.