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Finding the Fourth Proportional to 264,830.24, 397,161 and 87,304.16

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Solution

The fourth proportional to 264,830.24, 397,161 and 87,304.16 is: 130,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,830.24 : 397,161 = 87,304.16 : x
  2. Step 2: Convert to fraction form
    264,830.24/397,161 = 87,304.16/x
  3. Step 3: Cross multiply
    264,830.24x = 397,161 × 87,304.16
  4. Step 4: Simplify right side
    264,830.24x = 34,673,807,489.76
  5. Step 5: Solve for x
    x = 34,673,807,489.76/264,830.24
  6. Step 6: Final answer
    x = 130,928.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.