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Finding the Fourth Proportional to 337,098.80, 506,231.40 and 179,634.80

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Solution

The fourth proportional to 337,098.80, 506,231.40 and 179,634.80 is: 269,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,098.80 : 506,231.40 = 179,634.80 : x
  2. Step 2: Convert to fraction form
    337,098.80/506,231.40 = 179,634.80/x
  3. Step 3: Cross multiply
    337,098.80x = 506,231.40 × 179,634.80
  4. Step 4: Simplify right side
    337,098.80x = 90,936,776,292.72
  5. Step 5: Solve for x
    x = 90,936,776,292.72/337,098.80
  6. Step 6: Final answer
    x = 269,762.98

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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.