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Finding the Fourth Proportional to 280,285.80, 420,428.70 and 201,553.80

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Solution

The fourth proportional to 280,285.80, 420,428.70 and 201,553.80 is: 302,330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,285.80 : 420,428.70 = 201,553.80 : x
  2. Step 2: Convert to fraction form
    280,285.80/420,428.70 = 201,553.80/x
  3. Step 3: Cross multiply
    280,285.80x = 420,428.70 × 201,553.80
  4. Step 4: Simplify right side
    280,285.80x = 84,739,002,114.06
  5. Step 5: Solve for x
    x = 84,739,002,114.06/280,285.80
  6. Step 6: Final answer
    x = 302,330.70

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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.