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Finding the Fourth Proportional to 307,434.88, 461,140.80 and 97,085.44

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Solution

The fourth proportional to 307,434.88, 461,140.80 and 97,085.44 is: 145,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,434.88 : 461,140.80 = 97,085.44 : x
  2. Step 2: Convert to fraction form
    307,434.88/461,140.80 = 97,085.44/x
  3. Step 3: Cross multiply
    307,434.88x = 461,140.80 × 97,085.44
  4. Step 4: Simplify right side
    307,434.88x = 44,770,057,469.95
  5. Step 5: Solve for x
    x = 44,770,057,469.95/307,434.88
  6. Step 6: Final answer
    x = 145,624.52

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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.