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Finding the Fourth Proportional to 356,150.44, 491,821.14 and 229,047.40

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Solution

The fourth proportional to 356,150.44, 491,821.14 and 229,047.40 is: 316,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,150.44 : 491,821.14 = 229,047.40 : x
  2. Step 2: Convert to fraction form
    356,150.44/491,821.14 = 229,047.40/x
  3. Step 3: Cross multiply
    356,150.44x = 491,821.14 × 229,047.40
  4. Step 4: Simplify right side
    356,150.44x = 112,650,353,382.04
  5. Step 5: Solve for x
    x = 112,650,353,382.04/356,150.44
  6. Step 6: Final answer
    x = 316,299.91

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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.