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Finding the Fourth Proportional to 601,438.75, 829,985.49 and 333,166.75

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Solution

The fourth proportional to 601,438.75, 829,985.49 and 333,166.75 is: 459,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,438.75 : 829,985.49 = 333,166.75 : x
  2. Step 2: Convert to fraction form
    601,438.75/829,985.49 = 333,166.75/x
  3. Step 3: Cross multiply
    601,438.75x = 829,985.49 × 333,166.75
  4. Step 4: Simplify right side
    601,438.75x = 276,523,568,250.46
  5. Step 5: Solve for x
    x = 276,523,568,250.46/601,438.75
  6. Step 6: Final answer
    x = 459,770.12

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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.