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Finding the Fourth Proportional to 274,512.32, 411,801.70 and 96,983

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Solution

The fourth proportional to 274,512.32, 411,801.70 and 96,983 is: 145,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,512.32 : 411,801.70 = 96,983 : x
  2. Step 2: Convert to fraction form
    274,512.32/411,801.70 = 96,983/x
  3. Step 3: Cross multiply
    274,512.32x = 411,801.70 × 96,983
  4. Step 4: Simplify right side
    274,512.32x = 39,937,764,271.10
  5. Step 5: Solve for x
    x = 39,937,764,271.10/274,512.32
  6. Step 6: Final answer
    x = 145,486.24

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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.