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Finding the Fourth Proportional to 461,644.89, 692,506.98 and 162,099.72

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Solution

The fourth proportional to 461,644.89, 692,506.98 and 162,099.72 is: 243,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,644.89 : 692,506.98 = 162,099.72 : x
  2. Step 2: Convert to fraction form
    461,644.89/692,506.98 = 162,099.72/x
  3. Step 3: Cross multiply
    461,644.89x = 692,506.98 × 162,099.72
  4. Step 4: Simplify right side
    461,644.89x = 112,255,187,556.05
  5. Step 5: Solve for x
    x = 112,255,187,556.05/461,644.89
  6. Step 6: Final answer
    x = 243,163.50

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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.