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Finding the Fourth Proportional to 412,914.60, 619,371.90 and 412,914.60

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Solution

The fourth proportional to 412,914.60, 619,371.90 and 412,914.60 is: 619,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,914.60 : 619,371.90 = 412,914.60 : x
  2. Step 2: Convert to fraction form
    412,914.60/619,371.90 = 412,914.60/x
  3. Step 3: Cross multiply
    412,914.60x = 619,371.90 × 412,914.60
  4. Step 4: Simplify right side
    412,914.60x = 255,747,700,339.74
  5. Step 5: Solve for x
    x = 255,747,700,339.74/412,914.60
  6. Step 6: Final answer
    x = 619,371.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.