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Finding the Fourth Proportional to 546,057.40, 818,940.30 and 166,977.40

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Solution

The fourth proportional to 546,057.40, 818,940.30 and 166,977.40 is: 250,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,057.40 : 818,940.30 = 166,977.40 : x
  2. Step 2: Convert to fraction form
    546,057.40/818,940.30 = 166,977.40/x
  3. Step 3: Cross multiply
    546,057.40x = 818,940.30 × 166,977.40
  4. Step 4: Simplify right side
    546,057.40x = 136,744,522,049.22
  5. Step 5: Solve for x
    x = 136,744,522,049.22/546,057.40
  6. Step 6: Final answer
    x = 250,421.52

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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.