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Finding the Fourth Proportional to 430,311.84, 644,205.98 and 301,782.66

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Solution

The fourth proportional to 430,311.84, 644,205.98 and 301,782.66 is: 451,789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,311.84 : 644,205.98 = 301,782.66 : x
  2. Step 2: Convert to fraction form
    430,311.84/644,205.98 = 301,782.66/x
  3. Step 3: Cross multiply
    430,311.84x = 644,205.98 × 301,782.66
  4. Step 4: Simplify right side
    430,311.84x = 194,410,194,232.31
  5. Step 5: Solve for x
    x = 194,410,194,232.31/430,311.84
  6. Step 6: Final answer
    x = 451,789.09

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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.