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Finding the Fourth Proportional to 469,029.44, 647,262.96 and 275,567.42

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Solution

The fourth proportional to 469,029.44, 647,262.96 and 275,567.42 is: 380,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,029.44 : 647,262.96 = 275,567.42 : x
  2. Step 2: Convert to fraction form
    469,029.44/647,262.96 = 275,567.42/x
  3. Step 3: Cross multiply
    469,029.44x = 647,262.96 × 275,567.42
  4. Step 4: Simplify right side
    469,029.44x = 178,364,583,948.76
  5. Step 5: Solve for x
    x = 178,364,583,948.76/469,029.44
  6. Step 6: Final answer
    x = 380,284.41

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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.