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Finding the Fourth Proportional to 601,432.75, 829,977.20 and 333,160.75

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Solution

The fourth proportional to 601,432.75, 829,977.20 and 333,160.75 is: 459,761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,432.75 : 829,977.20 = 333,160.75 : x
  2. Step 2: Convert to fraction form
    601,432.75/829,977.20 = 333,160.75/x
  3. Step 3: Cross multiply
    601,432.75x = 829,977.20 × 333,160.75
  4. Step 4: Simplify right side
    601,432.75x = 276,515,826,434.90
  5. Step 5: Solve for x
    x = 276,515,826,434.90/601,432.75
  6. Step 6: Final answer
    x = 459,761.84

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