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Finding the Fourth Proportional to 531,458.29, 796,441.42 and 290,953.90

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Solution

The fourth proportional to 531,458.29, 796,441.42 and 290,953.90 is: 436,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,458.29 : 796,441.42 = 290,953.90 : x
  2. Step 2: Convert to fraction form
    531,458.29/796,441.42 = 290,953.90/x
  3. Step 3: Cross multiply
    531,458.29x = 796,441.42 × 290,953.90
  4. Step 4: Simplify right side
    531,458.29x = 231,727,737,270.54
  5. Step 5: Solve for x
    x = 231,727,737,270.54/531,458.29
  6. Step 6: Final answer
    x = 436,022.43

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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.