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Finding the Fourth Proportional to 453,528.89, 680,391.75 and 137,977.59

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Solution

The fourth proportional to 453,528.89, 680,391.75 and 137,977.59 is: 206,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,528.89 : 680,391.75 = 137,977.59 : x
  2. Step 2: Convert to fraction form
    453,528.89/680,391.75 = 137,977.59/x
  3. Step 3: Cross multiply
    453,528.89x = 680,391.75 × 137,977.59
  4. Step 4: Simplify right side
    453,528.89x = 93,878,816,213.64
  5. Step 5: Solve for x
    x = 93,878,816,213.64/453,528.89
  6. Step 6: Final answer
    x = 206,996.33

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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.