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Finding the Fourth Proportional to 514,770.24, 771,104.16 and 264,927.36

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Solution

The fourth proportional to 514,770.24, 771,104.16 and 264,927.36 is: 396,850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,770.24 : 771,104.16 = 264,927.36 : x
  2. Step 2: Convert to fraction form
    514,770.24/771,104.16 = 264,927.36/x
  3. Step 3: Cross multiply
    514,770.24x = 771,104.16 × 264,927.36
  4. Step 4: Simplify right side
    514,770.24x = 204,286,589,393.82
  5. Step 5: Solve for x
    x = 204,286,589,393.82/514,770.24
  6. Step 6: Final answer
    x = 396,850.04

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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.