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Finding the Fourth Proportional to 641,203.20, 884,701.44 and 414,576

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Solution

The fourth proportional to 641,203.20, 884,701.44 and 414,576 is: 572,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,203.20 : 884,701.44 = 414,576 : x
  2. Step 2: Convert to fraction form
    641,203.20/884,701.44 = 414,576/x
  3. Step 3: Cross multiply
    641,203.20x = 884,701.44 × 414,576
  4. Step 4: Simplify right side
    641,203.20x = 366,775,984,189.44
  5. Step 5: Solve for x
    x = 366,775,984,189.44/641,203.20
  6. Step 6: Final answer
    x = 572,012.09

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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.