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Finding the Fourth Proportional to 477,644.82, 659,149.82 and 262,780.27

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Solution

The fourth proportional to 477,644.82, 659,149.82 and 262,780.27 is: 362,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,644.82 : 659,149.82 = 262,780.27 : x
  2. Step 2: Convert to fraction form
    477,644.82/659,149.82 = 262,780.27/x
  3. Step 3: Cross multiply
    477,644.82x = 659,149.82 × 262,780.27
  4. Step 4: Simplify right side
    477,644.82x = 173,211,563,060.40
  5. Step 5: Solve for x
    x = 173,211,563,060.40/477,644.82
  6. Step 6: Final answer
    x = 362,636.75

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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.