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Finding the Fourth Proportional to 531,190.96, 796,942.16 and 171,354.60

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Solution

The fourth proportional to 531,190.96, 796,942.16 and 171,354.60 is: 257,082.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,190.96 : 796,942.16 = 171,354.60 : x
  2. Step 2: Convert to fraction form
    531,190.96/796,942.16 = 171,354.60/x
  3. Step 3: Cross multiply
    531,190.96x = 796,942.16 × 171,354.60
  4. Step 4: Simplify right side
    531,190.96x = 136,559,705,049.94
  5. Step 5: Solve for x
    x = 136,559,705,049.94/531,190.96
  6. Step 6: Final answer
    x = 257,082.13

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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.