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Finding the Fourth Proportional to 511,133.85, 705,369.53 and 281,699.41

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Solution

The fourth proportional to 511,133.85, 705,369.53 and 281,699.41 is: 388,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,133.85 : 705,369.53 = 281,699.41 : x
  2. Step 2: Convert to fraction form
    511,133.85/705,369.53 = 281,699.41/x
  3. Step 3: Cross multiply
    511,133.85x = 705,369.53 × 281,699.41
  4. Step 4: Simplify right side
    511,133.85x = 198,702,180,432.98
  5. Step 5: Solve for x
    x = 198,702,180,432.98/511,133.85
  6. Step 6: Final answer
    x = 388,747.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.