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Finding the Fourth Proportional to 256,422.14, 354,029.64 and 229,518.80

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Solution

The fourth proportional to 256,422.14, 354,029.64 and 229,518.80 is: 316,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,422.14 : 354,029.64 = 229,518.80 : x
  2. Step 2: Convert to fraction form
    256,422.14/354,029.64 = 229,518.80/x
  3. Step 3: Cross multiply
    256,422.14x = 354,029.64 × 229,518.80
  4. Step 4: Simplify right side
    256,422.14x = 81,256,458,137.23
  5. Step 5: Solve for x
    x = 81,256,458,137.23/256,422.14
  6. Step 6: Final answer
    x = 316,885.50

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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.