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Finding the Fourth Proportional to 461,524.80, 692,380.80 and 261,940.80

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Solution

The fourth proportional to 461,524.80, 692,380.80 and 261,940.80 is: 392,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,524.80 : 692,380.80 = 261,940.80 : x
  2. Step 2: Convert to fraction form
    461,524.80/692,380.80 = 261,940.80/x
  3. Step 3: Cross multiply
    461,524.80x = 692,380.80 × 261,940.80
  4. Step 4: Simplify right side
    461,524.80x = 181,362,780,656.64
  5. Step 5: Solve for x
    x = 181,362,780,656.64/461,524.80
  6. Step 6: Final answer
    x = 392,964.32

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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.