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Finding the Fourth Proportional to 307,474, 461,279.16 and 94,271.44

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Solution

The fourth proportional to 307,474, 461,279.16 and 94,271.44 is: 141,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,474 : 461,279.16 = 94,271.44 : x
  2. Step 2: Convert to fraction form
    307,474/461,279.16 = 94,271.44/x
  3. Step 3: Cross multiply
    307,474x = 461,279.16 × 94,271.44
  4. Step 4: Simplify right side
    307,474x = 43,485,450,655.19
  5. Step 5: Solve for x
    x = 43,485,450,655.19/307,474
  6. Step 6: Final answer
    x = 141,428.06

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Why These Related Problems?

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