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Finding the Fourth Proportional to 406,441.44, 609,870.33 and 193,450.32

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Solution

The fourth proportional to 406,441.44, 609,870.33 and 193,450.32 is: 290,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,441.44 : 609,870.33 = 193,450.32 : x
  2. Step 2: Convert to fraction form
    406,441.44/609,870.33 = 193,450.32/x
  3. Step 3: Cross multiply
    406,441.44x = 609,870.33 × 193,450.32
  4. Step 4: Simplify right side
    406,441.44x = 117,979,610,497.01
  5. Step 5: Solve for x
    x = 117,979,610,497.01/406,441.44
  6. Step 6: Final answer
    x = 290,274.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.