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Finding the Fourth Proportional to 412,675.20, 576,564.30 and 412,675.20

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Solution

The fourth proportional to 412,675.20, 576,564.30 and 412,675.20 is: 576,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,675.20 : 576,564.30 = 412,675.20 : x
  2. Step 2: Convert to fraction form
    412,675.20/576,564.30 = 412,675.20/x
  3. Step 3: Cross multiply
    412,675.20x = 576,564.30 × 412,675.20
  4. Step 4: Simplify right side
    412,675.20x = 237,933,787,815.36
  5. Step 5: Solve for x
    x = 237,933,787,815.36/412,675.20
  6. Step 6: Final answer
    x = 576,564.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.