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Finding the Fourth Proportional to 397,253.25, 595,885.32 and 220,106.25

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Solution

The fourth proportional to 397,253.25, 595,885.32 and 220,106.25 is: 330,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,253.25 : 595,885.32 = 220,106.25 : x
  2. Step 2: Convert to fraction form
    397,253.25/595,885.32 = 220,106.25/x
  3. Step 3: Cross multiply
    397,253.25x = 595,885.32 × 220,106.25
  4. Step 4: Simplify right side
    397,253.25x = 131,158,083,215.25
  5. Step 5: Solve for x
    x = 131,158,083,215.25/397,253.25
  6. Step 6: Final answer
    x = 330,162.39

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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.