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Finding the Fourth Proportional to 295,057.20, 442,585.80 and 201,745.20

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Solution

The fourth proportional to 295,057.20, 442,585.80 and 201,745.20 is: 302,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,057.20 : 442,585.80 = 201,745.20 : x
  2. Step 2: Convert to fraction form
    295,057.20/442,585.80 = 201,745.20/x
  3. Step 3: Cross multiply
    295,057.20x = 442,585.80 × 201,745.20
  4. Step 4: Simplify right side
    295,057.20x = 89,289,560,738.16
  5. Step 5: Solve for x
    x = 89,289,560,738.16/295,057.20
  6. Step 6: Final answer
    x = 302,617.80

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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.