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Finding the Fourth Proportional to 411,092.12, 567,398.58 and 249,913

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Solution

The fourth proportional to 411,092.12, 567,398.58 and 249,913 is: 344,935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,092.12 : 567,398.58 = 249,913 : x
  2. Step 2: Convert to fraction form
    411,092.12/567,398.58 = 249,913/x
  3. Step 3: Cross multiply
    411,092.12x = 567,398.58 × 249,913
  4. Step 4: Simplify right side
    411,092.12x = 141,800,281,323.54
  5. Step 5: Solve for x
    x = 141,800,281,323.54/411,092.12
  6. Step 6: Final answer
    x = 344,935.54

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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.