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Finding the Fourth Proportional to 465,059.15, 697,233.90 and 212,162.78

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Solution

The fourth proportional to 465,059.15, 697,233.90 and 212,162.78 is: 318,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,059.15 : 697,233.90 = 212,162.78 : x
  2. Step 2: Convert to fraction form
    465,059.15/697,233.90 = 212,162.78/x
  3. Step 3: Cross multiply
    465,059.15x = 697,233.90 × 212,162.78
  4. Step 4: Simplify right side
    465,059.15x = 147,927,079,578.48
  5. Step 5: Solve for x
    x = 147,927,079,578.48/465,059.15
  6. Step 6: Final answer
    x = 318,082.29

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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.