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Finding the Fourth Proportional to 307,505.14, 461,274.10 and 290,676.18

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Solution

The fourth proportional to 307,505.14, 461,274.10 and 290,676.18 is: 436,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,505.14 : 461,274.10 = 290,676.18 : x
  2. Step 2: Convert to fraction form
    307,505.14/461,274.10 = 290,676.18/x
  3. Step 3: Cross multiply
    307,505.14x = 461,274.10 × 290,676.18
  4. Step 4: Simplify right side
    307,505.14x = 134,081,393,320.94
  5. Step 5: Solve for x
    x = 134,081,393,320.94/307,505.14
  6. Step 6: Final answer
    x = 436,029.76

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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.