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Finding the Fourth Proportional to 598,438.98, 825,845.43 and 383,578.86

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Solution

The fourth proportional to 598,438.98, 825,845.43 and 383,578.86 is: 529,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,438.98 : 825,845.43 = 383,578.86 : x
  2. Step 2: Convert to fraction form
    598,438.98/825,845.43 = 383,578.86/x
  3. Step 3: Cross multiply
    598,438.98x = 825,845.43 × 383,578.86
  4. Step 4: Simplify right side
    598,438.98x = 316,776,848,575.61
  5. Step 5: Solve for x
    x = 316,776,848,575.61/598,438.98
  6. Step 6: Final answer
    x = 529,338.59

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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.