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Finding the Fourth Proportional to 306,964.85, 460,761.48 and 253,486.44

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Solution

The fourth proportional to 306,964.85, 460,761.48 and 253,486.44 is: 380,489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,964.85 : 460,761.48 = 253,486.44 : x
  2. Step 2: Convert to fraction form
    306,964.85/460,761.48 = 253,486.44/x
  3. Step 3: Cross multiply
    306,964.85x = 460,761.48 × 253,486.44
  4. Step 4: Simplify right side
    306,964.85x = 116,796,787,254.33
  5. Step 5: Solve for x
    x = 116,796,787,254.33/306,964.85
  6. Step 6: Final answer
    x = 380,489.12

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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.