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Finding the Fourth Proportional to 537,721.56, 806,703.86 and 177,891.57

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Solution

The fourth proportional to 537,721.56, 806,703.86 and 177,891.57 is: 266,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,721.56 : 806,703.86 = 177,891.57 : x
  2. Step 2: Convert to fraction form
    537,721.56/806,703.86 = 177,891.57/x
  3. Step 3: Cross multiply
    537,721.56x = 806,703.86 × 177,891.57
  4. Step 4: Simplify right side
    537,721.56x = 143,505,814,445.53
  5. Step 5: Solve for x
    x = 143,505,814,445.53/537,721.56
  6. Step 6: Final answer
    x = 266,877.55

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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.