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Finding the Fourth Proportional to 397,433.47, 597,354.59 and 262,956.22

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Solution

The fourth proportional to 397,433.47, 597,354.59 and 262,956.22 is: 395,231.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,433.47 : 597,354.59 = 262,956.22 : x
  2. Step 2: Convert to fraction form
    397,433.47/597,354.59 = 262,956.22/x
  3. Step 3: Cross multiply
    397,433.47x = 597,354.59 × 262,956.22
  4. Step 4: Simplify right side
    397,433.47x = 157,078,104,986.05
  5. Step 5: Solve for x
    x = 157,078,104,986.05/397,433.47
  6. Step 6: Final answer
    x = 395,231.19

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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.