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Finding the Fourth Proportional to 274,285.80, 411,428.70 and 230,983.20

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Solution

The fourth proportional to 274,285.80, 411,428.70 and 230,983.20 is: 346,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,285.80 : 411,428.70 = 230,983.20 : x
  2. Step 2: Convert to fraction form
    274,285.80/411,428.70 = 230,983.20/x
  3. Step 3: Cross multiply
    274,285.80x = 411,428.70 × 230,983.20
  4. Step 4: Simplify right side
    274,285.80x = 95,033,117,697.84
  5. Step 5: Solve for x
    x = 95,033,117,697.84/274,285.80
  6. Step 6: Final answer
    x = 346,474.80

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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.