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Finding the Fourth Proportional to 537,813, 806,719.56 and 163,836

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Solution

The fourth proportional to 537,813, 806,719.56 and 163,836 is: 245,754.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,813 : 806,719.56 = 163,836 : x
  2. Step 2: Convert to fraction form
    537,813/806,719.56 = 163,836/x
  3. Step 3: Cross multiply
    537,813x = 806,719.56 × 163,836
  4. Step 4: Simplify right side
    537,813x = 132,169,705,832.16
  5. Step 5: Solve for x
    x = 132,169,705,832.16/537,813
  6. Step 6: Final answer
    x = 245,754.02

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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.