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Finding the Fourth Proportional to 307,791.52, 461,700.96 and 97,444.96

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Solution

The fourth proportional to 307,791.52, 461,700.96 and 97,444.96 is: 146,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,791.52 : 461,700.96 = 97,444.96 : x
  2. Step 2: Convert to fraction form
    307,791.52/461,700.96 = 97,444.96/x
  3. Step 3: Cross multiply
    307,791.52x = 461,700.96 × 97,444.96
  4. Step 4: Simplify right side
    307,791.52x = 44,990,431,579.16
  5. Step 5: Solve for x
    x = 44,990,431,579.16/307,791.52
  6. Step 6: Final answer
    x = 146,171.77

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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.