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Finding the Fourth Proportional to 286,596.50, 395,561.58 and 196,202.30

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Solution

The fourth proportional to 286,596.50, 395,561.58 and 196,202.30 is: 270,799.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,596.50 : 395,561.58 = 196,202.30 : x
  2. Step 2: Convert to fraction form
    286,596.50/395,561.58 = 196,202.30/x
  3. Step 3: Cross multiply
    286,596.50x = 395,561.58 × 196,202.30
  4. Step 4: Simplify right side
    286,596.50x = 77,610,091,787.63
  5. Step 5: Solve for x
    x = 77,610,091,787.63/286,596.50
  6. Step 6: Final answer
    x = 270,799.16

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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.