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Finding the Fourth Proportional to 256,420.14, 354,026.88 and 229,516.80

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Solution

The fourth proportional to 256,420.14, 354,026.88 and 229,516.80 is: 316,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,420.14 : 354,026.88 = 229,516.80 : x
  2. Step 2: Convert to fraction form
    256,420.14/354,026.88 = 229,516.80/x
  3. Step 3: Cross multiply
    256,420.14x = 354,026.88 × 229,516.80
  4. Step 4: Simplify right side
    256,420.14x = 81,255,116,611.58
  5. Step 5: Solve for x
    x = 81,255,116,611.58/256,420.14
  6. Step 6: Final answer
    x = 316,882.74

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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.