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Finding the Fourth Proportional to 307,758.24, 461,704.32 and 97,398

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Solution

The fourth proportional to 307,758.24, 461,704.32 and 97,398 is: 146,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,758.24 : 461,704.32 = 97,398 : x
  2. Step 2: Convert to fraction form
    307,758.24/461,704.32 = 97,398/x
  3. Step 3: Cross multiply
    307,758.24x = 461,704.32 × 97,398
  4. Step 4: Simplify right side
    307,758.24x = 44,969,077,359.36
  5. Step 5: Solve for x
    x = 44,969,077,359.36/307,758.24
  6. Step 6: Final answer
    x = 146,118.19

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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.