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Finding the Fourth Proportional to 476,211.36, 712,611.48 and 412,390.56

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Solution

The fourth proportional to 476,211.36, 712,611.48 and 412,390.56 is: 617,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,211.36 : 712,611.48 = 412,390.56 : x
  2. Step 2: Convert to fraction form
    476,211.36/712,611.48 = 412,390.56/x
  3. Step 3: Cross multiply
    476,211.36x = 712,611.48 × 412,390.56
  4. Step 4: Simplify right side
    476,211.36x = 293,874,247,299.63
  5. Step 5: Solve for x
    x = 293,874,247,299.63/476,211.36
  6. Step 6: Final answer
    x = 617,108.86

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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.