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Finding the Fourth Proportional to 307,732.48, 461,684.48 and 97,364.48

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Solution

The fourth proportional to 307,732.48, 461,684.48 and 97,364.48 is: 146,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,732.48 : 461,684.48 = 97,364.48 : x
  2. Step 2: Convert to fraction form
    307,732.48/461,684.48 = 97,364.48/x
  3. Step 3: Cross multiply
    307,732.48x = 461,684.48 × 97,364.48
  4. Step 4: Simplify right side
    307,732.48x = 44,951,669,319.27
  5. Step 5: Solve for x
    x = 44,951,669,319.27/307,732.48
  6. Step 6: Final answer
    x = 146,073.85

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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.