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Finding the Fourth Proportional to 461,704.80, 692,469.72 and 162,114.96

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Solution

The fourth proportional to 461,704.80, 692,469.72 and 162,114.96 is: 243,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,704.80 : 692,469.72 = 162,114.96 : x
  2. Step 2: Convert to fraction form
    461,704.80/692,469.72 = 162,114.96/x
  3. Step 3: Cross multiply
    461,704.80x = 692,469.72 × 162,114.96
  4. Step 4: Simplify right side
    461,704.80x = 112,259,700,959.01
  5. Step 5: Solve for x
    x = 112,259,700,959.01/461,704.80
  6. Step 6: Final answer
    x = 243,141.72

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Why These Related Problems?

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