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Finding the Fourth Proportional to 382,241.46, 573,805.11 and 205,094.46

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Solution

The fourth proportional to 382,241.46, 573,805.11 and 205,094.46 is: 307,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,241.46 : 573,805.11 = 205,094.46 : x
  2. Step 2: Convert to fraction form
    382,241.46/573,805.11 = 205,094.46/x
  3. Step 3: Cross multiply
    382,241.46x = 573,805.11 × 205,094.46
  4. Step 4: Simplify right side
    382,241.46x = 117,684,249,180.69
  5. Step 5: Solve for x
    x = 117,684,249,180.69/382,241.46
  6. Step 6: Final answer
    x = 307,879.34

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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.