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Finding the Fourth Proportional to 537,754.52, 806,753.16 and 177,924.56

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Solution

The fourth proportional to 537,754.52, 806,753.16 and 177,924.56 is: 266,927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,754.52 : 806,753.16 = 177,924.56 : x
  2. Step 2: Convert to fraction form
    537,754.52/806,753.16 = 177,924.56/x
  3. Step 3: Cross multiply
    537,754.52x = 806,753.16 × 177,924.56
  4. Step 4: Simplify right side
    537,754.52x = 143,541,201,021.61
  5. Step 5: Solve for x
    x = 143,541,201,021.61/537,754.52
  6. Step 6: Final answer
    x = 266,927.00

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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.