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Finding the Fourth Proportional to 543,075.80, 814,905.30 and 227,564.60

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Solution

The fourth proportional to 543,075.80, 814,905.30 and 227,564.60 is: 341,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,075.80 : 814,905.30 = 227,564.60 : x
  2. Step 2: Convert to fraction form
    543,075.80/814,905.30 = 227,564.60/x
  3. Step 3: Cross multiply
    543,075.80x = 814,905.30 × 227,564.60
  4. Step 4: Simplify right side
    543,075.80x = 185,443,598,632.38
  5. Step 5: Solve for x
    x = 185,443,598,632.38/543,075.80
  6. Step 6: Final answer
    x = 341,469.09

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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.