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Finding the Fourth Proportional to 307,891.40, 461,837.10 and 272,899.40

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Solution

The fourth proportional to 307,891.40, 461,837.10 and 272,899.40 is: 409,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,891.40 : 461,837.10 = 272,899.40 : x
  2. Step 2: Convert to fraction form
    307,891.40/461,837.10 = 272,899.40/x
  3. Step 3: Cross multiply
    307,891.40x = 461,837.10 × 272,899.40
  4. Step 4: Simplify right side
    307,891.40x = 126,035,067,487.74
  5. Step 5: Solve for x
    x = 126,035,067,487.74/307,891.40
  6. Step 6: Final answer
    x = 409,349.10

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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.