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Finding the Fourth Proportional to 412,037, 567,289.22 and 321,276.50

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Solution

The fourth proportional to 412,037, 567,289.22 and 321,276.50 is: 442,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,037 : 567,289.22 = 321,276.50 : x
  2. Step 2: Convert to fraction form
    412,037/567,289.22 = 321,276.50/x
  3. Step 3: Cross multiply
    412,037x = 567,289.22 × 321,276.50
  4. Step 4: Simplify right side
    412,037x = 182,256,695,089.33
  5. Step 5: Solve for x
    x = 182,256,695,089.33/412,037
  6. Step 6: Final answer
    x = 442,330.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.