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Finding the Fourth Proportional to 465,472.67, 697,644.62 and 212,406.39

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Solution

The fourth proportional to 465,472.67, 697,644.62 and 212,406.39 is: 318,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,472.67 : 697,644.62 = 212,406.39 : x
  2. Step 2: Convert to fraction form
    465,472.67/697,644.62 = 212,406.39/x
  3. Step 3: Cross multiply
    465,472.67x = 697,644.62 × 212,406.39
  4. Step 4: Simplify right side
    465,472.67x = 148,184,174,175.09
  5. Step 5: Solve for x
    x = 148,184,174,175.09/465,472.67
  6. Step 6: Final answer
    x = 318,352.04

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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.