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Finding the Fourth Proportional to 533,204.55, 731,905.53 and 471,421.80

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Solution

The fourth proportional to 533,204.55, 731,905.53 and 471,421.80 is: 647,099.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,204.55 : 731,905.53 = 471,421.80 : x
  2. Step 2: Convert to fraction form
    533,204.55/731,905.53 = 471,421.80/x
  3. Step 3: Cross multiply
    533,204.55x = 731,905.53 × 471,421.80
  4. Step 4: Simplify right side
    533,204.55x = 345,036,222,382.55
  5. Step 5: Solve for x
    x = 345,036,222,382.55/533,204.55
  6. Step 6: Final answer
    x = 647,099.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.