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Finding the Fourth Proportional to 289,586.24, 399,624 and 162,261.44

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Solution

The fourth proportional to 289,586.24, 399,624 and 162,261.44 is: 223,917.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,586.24 : 399,624 = 162,261.44 : x
  2. Step 2: Convert to fraction form
    289,586.24/399,624 = 162,261.44/x
  3. Step 3: Cross multiply
    289,586.24x = 399,624 × 162,261.44
  4. Step 4: Simplify right side
    289,586.24x = 64,843,565,698.56
  5. Step 5: Solve for x
    x = 64,843,565,698.56/289,586.24
  6. Step 6: Final answer
    x = 223,917.98

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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.