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Finding the Fourth Proportional to 411,481.59, 567,530.64 and 354,214.98

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Solution

The fourth proportional to 411,481.59, 567,530.64 and 354,214.98 is: 488,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,481.59 : 567,530.64 = 354,214.98 : x
  2. Step 2: Convert to fraction form
    411,481.59/567,530.64 = 354,214.98/x
  3. Step 3: Cross multiply
    411,481.59x = 567,530.64 × 354,214.98
  4. Step 4: Simplify right side
    411,481.59x = 201,027,854,296.99
  5. Step 5: Solve for x
    x = 201,027,854,296.99/411,481.59
  6. Step 6: Final answer
    x = 488,546.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.