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Finding the Fourth Proportional to 537,634.72, 806,568.72 and 163,648

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Solution

The fourth proportional to 537,634.72, 806,568.72 and 163,648 is: 245,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,634.72 : 806,568.72 = 163,648 : x
  2. Step 2: Convert to fraction form
    537,634.72/806,568.72 = 163,648/x
  3. Step 3: Cross multiply
    537,634.72x = 806,568.72 × 163,648
  4. Step 4: Simplify right side
    537,634.72x = 131,993,357,890.56
  5. Step 5: Solve for x
    x = 131,993,357,890.56/537,634.72
  6. Step 6: Final answer
    x = 245,507.50

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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.