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Finding the Fourth Proportional to 461,651.22, 692,786.10 and 162,132.90

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Solution

The fourth proportional to 461,651.22, 692,786.10 and 162,132.90 is: 243,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,651.22 : 692,786.10 = 162,132.90 : x
  2. Step 2: Convert to fraction form
    461,651.22/692,786.10 = 162,132.90/x
  3. Step 3: Cross multiply
    461,651.22x = 692,786.10 × 162,132.90
  4. Step 4: Simplify right side
    461,651.22x = 112,323,419,472.69
  5. Step 5: Solve for x
    x = 112,323,419,472.69/461,651.22
  6. Step 6: Final answer
    x = 243,307.97

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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.