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Finding the Fourth Proportional to 274,803.90, 412,205.85 and 227,564.70

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Solution

The fourth proportional to 274,803.90, 412,205.85 and 227,564.70 is: 341,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,803.90 : 412,205.85 = 227,564.70 : x
  2. Step 2: Convert to fraction form
    274,803.90/412,205.85 = 227,564.70/x
  3. Step 3: Cross multiply
    274,803.90x = 412,205.85 × 227,564.70
  4. Step 4: Simplify right side
    274,803.90x = 93,803,500,593.50
  5. Step 5: Solve for x
    x = 93,803,500,593.50/274,803.90
  6. Step 6: Final answer
    x = 341,347.05

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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.