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Finding the Fourth Proportional to 465,525.38, 698,283.61 and 275,849.21

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Solution

The fourth proportional to 465,525.38, 698,283.61 and 275,849.21 is: 413,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,525.38 : 698,283.61 = 275,849.21 : x
  2. Step 2: Convert to fraction form
    465,525.38/698,283.61 = 275,849.21/x
  3. Step 3: Cross multiply
    465,525.38x = 698,283.61 × 275,849.21
  4. Step 4: Simplify right side
    465,525.38x = 192,620,985,137.82
  5. Step 5: Solve for x
    x = 192,620,985,137.82/465,525.38
  6. Step 6: Final answer
    x = 413,771.18

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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.