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Finding the Fourth Proportional to 397,243.56, 595,677.51 and 144,347.82

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Solution

The fourth proportional to 397,243.56, 595,677.51 and 144,347.82 is: 216,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,243.56 : 595,677.51 = 144,347.82 : x
  2. Step 2: Convert to fraction form
    397,243.56/595,677.51 = 144,347.82/x
  3. Step 3: Cross multiply
    397,243.56x = 595,677.51 × 144,347.82
  4. Step 4: Simplify right side
    397,243.56x = 85,984,749,991.53
  5. Step 5: Solve for x
    x = 85,984,749,991.53/397,243.56
  6. Step 6: Final answer
    x = 216,453.48

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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.