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Finding the Fourth Proportional to 290,502.80, 435,754.20 and 200,301.20

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Solution

The fourth proportional to 290,502.80, 435,754.20 and 200,301.20 is: 300,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,502.80 : 435,754.20 = 200,301.20 : x
  2. Step 2: Convert to fraction form
    290,502.80/435,754.20 = 200,301.20/x
  3. Step 3: Cross multiply
    290,502.80x = 435,754.20 × 200,301.20
  4. Step 4: Simplify right side
    290,502.80x = 87,282,089,165.04
  5. Step 5: Solve for x
    x = 87,282,089,165.04/290,502.80
  6. Step 6: Final answer
    x = 300,451.80

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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.