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Finding the Fourth Proportional to 286,594.50, 395,558.82 and 196,200.30

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Solution

The fourth proportional to 286,594.50, 395,558.82 and 196,200.30 is: 270,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,594.50 : 395,558.82 = 196,200.30 : x
  2. Step 2: Convert to fraction form
    286,594.50/395,558.82 = 196,200.30/x
  3. Step 3: Cross multiply
    286,594.50x = 395,558.82 × 196,200.30
  4. Step 4: Simplify right side
    286,594.50x = 77,608,759,151.65
  5. Step 5: Solve for x
    x = 77,608,759,151.65/286,594.50
  6. Step 6: Final answer
    x = 270,796.40

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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.