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Finding the Fourth Proportional to 465,412.28, 697,472.44 and 212,073.64

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Solution

The fourth proportional to 465,412.28, 697,472.44 and 212,073.64 is: 317,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,412.28 : 697,472.44 = 212,073.64 : x
  2. Step 2: Convert to fraction form
    465,412.28/697,472.44 = 212,073.64/x
  3. Step 3: Cross multiply
    465,412.28x = 697,472.44 × 212,073.64
  4. Step 4: Simplify right side
    465,412.28x = 147,915,519,150.48
  5. Step 5: Solve for x
    x = 147,915,519,150.48/465,412.28
  6. Step 6: Final answer
    x = 317,816.11

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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.