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Finding the Fourth Proportional to 477,396.44, 658,824 and 262,553.12

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Solution

The fourth proportional to 477,396.44, 658,824 and 262,553.12 is: 362,332.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,396.44 : 658,824 = 262,553.12 : x
  2. Step 2: Convert to fraction form
    477,396.44/658,824 = 262,553.12/x
  3. Step 3: Cross multiply
    477,396.44x = 658,824 × 262,553.12
  4. Step 4: Simplify right side
    477,396.44x = 172,976,296,730.88
  5. Step 5: Solve for x
    x = 172,976,296,730.88/477,396.44
  6. Step 6: Final answer
    x = 362,332.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.