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Finding the Fourth Proportional to 531,543.80, 797,418.36 and 171,811.46

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Solution

The fourth proportional to 531,543.80, 797,418.36 and 171,811.46 is: 257,750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,543.80 : 797,418.36 = 171,811.46 : x
  2. Step 2: Convert to fraction form
    531,543.80/797,418.36 = 171,811.46/x
  3. Step 3: Cross multiply
    531,543.80x = 797,418.36 × 171,811.46
  4. Step 4: Simplify right side
    531,543.80x = 137,005,608,675.31
  5. Step 5: Solve for x
    x = 137,005,608,675.31/531,543.80
  6. Step 6: Final answer
    x = 257,750.37

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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.