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Finding the Fourth Proportional to 356,293.12, 491,447.94 and 229,129.60

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Solution

The fourth proportional to 356,293.12, 491,447.94 and 229,129.60 is: 316,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,293.12 : 491,447.94 = 229,129.60 : x
  2. Step 2: Convert to fraction form
    356,293.12/491,447.94 = 229,129.60/x
  3. Step 3: Cross multiply
    356,293.12x = 491,447.94 × 229,129.60
  4. Step 4: Simplify right side
    356,293.12x = 112,605,269,913.02
  5. Step 5: Solve for x
    x = 112,605,269,913.02/356,293.12
  6. Step 6: Final answer
    x = 316,046.71

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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.