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Finding the Fourth Proportional to 290,524.80, 434,849.75 and 150,090.24

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Solution

The fourth proportional to 290,524.80, 434,849.75 and 150,090.24 is: 224,651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,524.80 : 434,849.75 = 150,090.24 : x
  2. Step 2: Convert to fraction form
    290,524.80/434,849.75 = 150,090.24/x
  3. Step 3: Cross multiply
    290,524.80x = 434,849.75 × 150,090.24
  4. Step 4: Simplify right side
    290,524.80x = 65,266,703,341.44
  5. Step 5: Solve for x
    x = 65,266,703,341.44/290,524.80
  6. Step 6: Final answer
    x = 224,651.06

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