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Finding the Fourth Proportional to 412,666.20, 576,551.70 and 412,666.20

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Solution

The fourth proportional to 412,666.20, 576,551.70 and 412,666.20 is: 576,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,666.20 : 576,551.70 = 412,666.20 : x
  2. Step 2: Convert to fraction form
    412,666.20/576,551.70 = 412,666.20/x
  3. Step 3: Cross multiply
    412,666.20x = 576,551.70 × 412,666.20
  4. Step 4: Simplify right side
    412,666.20x = 237,923,399,142.54
  5. Step 5: Solve for x
    x = 237,923,399,142.54/412,666.20
  6. Step 6: Final answer
    x = 576,551.70

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