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Finding the Fourth Proportional to 496,696.40, 744,623.40 and 180,969.20

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Solution

The fourth proportional to 496,696.40, 744,623.40 and 180,969.20 is: 271,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,696.40 : 744,623.40 = 180,969.20 : x
  2. Step 2: Convert to fraction form
    496,696.40/744,623.40 = 180,969.20/x
  3. Step 3: Cross multiply
    496,696.40x = 744,623.40 × 180,969.20
  4. Step 4: Simplify right side
    496,696.40x = 134,753,900,999.28
  5. Step 5: Solve for x
    x = 134,753,900,999.28/496,696.40
  6. Step 6: Final answer
    x = 271,300.34

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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.