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Finding the Fourth Proportional to 340,419.45, 510,629.76 and 140,520.36

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Solution

The fourth proportional to 340,419.45, 510,629.76 and 140,520.36 is: 210,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,419.45 : 510,629.76 = 140,520.36 : x
  2. Step 2: Convert to fraction form
    340,419.45/510,629.76 = 140,520.36/x
  3. Step 3: Cross multiply
    340,419.45x = 510,629.76 × 140,520.36
  4. Step 4: Simplify right side
    340,419.45x = 71,753,877,701.91
  5. Step 5: Solve for x
    x = 71,753,877,701.91/340,419.45
  6. Step 6: Final answer
    x = 210,780.78

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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.