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Finding the Fourth Proportional to 341,403.60, 512,105.40 and 229,429.20

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Solution

The fourth proportional to 341,403.60, 512,105.40 and 229,429.20 is: 344,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,403.60 : 512,105.40 = 229,429.20 : x
  2. Step 2: Convert to fraction form
    341,403.60/512,105.40 = 229,429.20/x
  3. Step 3: Cross multiply
    341,403.60x = 512,105.40 × 229,429.20
  4. Step 4: Simplify right side
    341,403.60x = 117,491,932,237.68
  5. Step 5: Solve for x
    x = 117,491,932,237.68/341,403.60
  6. Step 6: Final answer
    x = 344,143.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.