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Finding the Fourth Proportional to 601,435.75, 829,981.35 and 333,163.75

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Solution

The fourth proportional to 601,435.75, 829,981.35 and 333,163.75 is: 459,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,435.75 : 829,981.35 = 333,163.75 : x
  2. Step 2: Convert to fraction form
    601,435.75/829,981.35 = 333,163.75/x
  3. Step 3: Cross multiply
    601,435.75x = 829,981.35 × 333,163.75
  4. Step 4: Simplify right side
    601,435.75x = 276,519,698,996.06
  5. Step 5: Solve for x
    x = 276,519,698,996.06/601,435.75
  6. Step 6: Final answer
    x = 459,765.98

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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.