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Finding the Fourth Proportional to 411,062.97, 567,194.34 and 229,716.93

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Solution

The fourth proportional to 411,062.97, 567,194.34 and 229,716.93 is: 316,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,062.97 : 567,194.34 = 229,716.93 : x
  2. Step 2: Convert to fraction form
    411,062.97/567,194.34 = 229,716.93/x
  3. Step 3: Cross multiply
    411,062.97x = 567,194.34 × 229,716.93
  4. Step 4: Simplify right side
    411,062.97x = 130,294,142,498.18
  5. Step 5: Solve for x
    x = 130,294,142,498.18/411,062.97
  6. Step 6: Final answer
    x = 316,968.82

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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.