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Finding the Fourth Proportional to 275,340.32, 380,193.72 and 224,360.72

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Solution

The fourth proportional to 275,340.32, 380,193.72 and 224,360.72 is: 309,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,340.32 : 380,193.72 = 224,360.72 : x
  2. Step 2: Convert to fraction form
    275,340.32/380,193.72 = 224,360.72/x
  3. Step 3: Cross multiply
    275,340.32x = 380,193.72 × 224,360.72
  4. Step 4: Simplify right side
    275,340.32x = 85,300,536,758.68
  5. Step 5: Solve for x
    x = 85,300,536,758.68/275,340.32
  6. Step 6: Final answer
    x = 309,800.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.