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Finding the Fourth Proportional to 307,423.14, 461,223.81 and 127,475.16

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Solution

The fourth proportional to 307,423.14, 461,223.81 and 127,475.16 is: 191,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,423.14 : 461,223.81 = 127,475.16 : x
  2. Step 2: Convert to fraction form
    307,423.14/461,223.81 = 127,475.16/x
  3. Step 3: Cross multiply
    307,423.14x = 461,223.81 × 127,475.16
  4. Step 4: Simplify right side
    307,423.14x = 58,794,578,975.56
  5. Step 5: Solve for x
    x = 58,794,578,975.56/307,423.14
  6. Step 6: Final answer
    x = 191,249.69

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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.