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Finding the Fourth Proportional to 506,108.25, 758,571.89 and 281,361.20

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Solution

The fourth proportional to 506,108.25, 758,571.89 and 281,361.20 is: 421,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,108.25 : 758,571.89 = 281,361.20 : x
  2. Step 2: Convert to fraction form
    506,108.25/758,571.89 = 281,361.20/x
  3. Step 3: Cross multiply
    506,108.25x = 758,571.89 × 281,361.20
  4. Step 4: Simplify right side
    506,108.25x = 213,432,692,057.00
  5. Step 5: Solve for x
    x = 213,432,692,057.00/506,108.25
  6. Step 6: Final answer
    x = 421,713.52

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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.