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Finding the Fourth Proportional to 384,805.86, 577,361.88 and 148,084.98

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Solution

The fourth proportional to 384,805.86, 577,361.88 and 148,084.98 is: 222,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,805.86 : 577,361.88 = 148,084.98 : x
  2. Step 2: Convert to fraction form
    384,805.86/577,361.88 = 148,084.98/x
  3. Step 3: Cross multiply
    384,805.86x = 577,361.88 × 148,084.98
  4. Step 4: Simplify right side
    384,805.86x = 85,498,622,452.56
  5. Step 5: Solve for x
    x = 85,498,622,452.56/384,805.86
  6. Step 6: Final answer
    x = 222,186.38

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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.