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Finding the Fourth Proportional to 533,203.54, 731,904.16 and 471,420.79

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Solution

The fourth proportional to 533,203.54, 731,904.16 and 471,420.79 is: 647,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,203.54 : 731,904.16 = 471,420.79 : x
  2. Step 2: Convert to fraction form
    533,203.54/731,904.16 = 471,420.79/x
  3. Step 3: Cross multiply
    533,203.54x = 731,904.16 × 471,420.79
  4. Step 4: Simplify right side
    533,203.54x = 345,034,837,311.49
  5. Step 5: Solve for x
    x = 345,034,837,311.49/533,203.54
  6. Step 6: Final answer
    x = 647,097.80

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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.