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Finding the Fourth Proportional to 461,542.80, 692,623.80 and 162,022.80

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Solution

The fourth proportional to 461,542.80, 692,623.80 and 162,022.80 is: 243,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,542.80 : 692,623.80 = 162,022.80 : x
  2. Step 2: Convert to fraction form
    461,542.80/692,623.80 = 162,022.80/x
  3. Step 3: Cross multiply
    461,542.80x = 692,623.80 × 162,022.80
  4. Step 4: Simplify right side
    461,542.80x = 112,220,847,422.64
  5. Step 5: Solve for x
    x = 112,220,847,422.64/461,542.80
  6. Step 6: Final answer
    x = 243,142.88

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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.