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Finding the Fourth Proportional to 511,132.37, 705,367.50 and 281,698.06

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Solution

The fourth proportional to 511,132.37, 705,367.50 and 281,698.06 is: 388,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,132.37 : 705,367.50 = 281,698.06 : x
  2. Step 2: Convert to fraction form
    511,132.37/705,367.50 = 281,698.06/x
  3. Step 3: Cross multiply
    511,132.37x = 705,367.50 × 281,698.06
  4. Step 4: Simplify right side
    511,132.37x = 198,700,652,810.21
  5. Step 5: Solve for x
    x = 198,700,652,810.21/511,132.37
  6. Step 6: Final answer
    x = 388,745.98

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