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Finding the Fourth Proportional to 537,768.12, 806,773.56 and 177,938.04

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Solution

The fourth proportional to 537,768.12, 806,773.56 and 177,938.04 is: 266,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,768.12 : 806,773.56 = 177,938.04 : x
  2. Step 2: Convert to fraction form
    537,768.12/806,773.56 = 177,938.04/x
  3. Step 3: Cross multiply
    537,768.12x = 806,773.56 × 177,938.04
  4. Step 4: Simplify right side
    537,768.12x = 143,555,705,990.22
  5. Step 5: Solve for x
    x = 143,555,705,990.22/537,768.12
  6. Step 6: Final answer
    x = 266,947.22

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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.