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Finding the Fourth Proportional to 462,812.56, 694,323.04 and 163,314.48

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Solution

The fourth proportional to 462,812.56, 694,323.04 and 163,314.48 is: 245,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,812.56 : 694,323.04 = 163,314.48 : x
  2. Step 2: Convert to fraction form
    462,812.56/694,323.04 = 163,314.48/x
  3. Step 3: Cross multiply
    462,812.56x = 694,323.04 × 163,314.48
  4. Step 4: Simplify right side
    462,812.56x = 113,393,006,229.62
  5. Step 5: Solve for x
    x = 113,393,006,229.62/462,812.56
  6. Step 6: Final answer
    x = 245,008.49

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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.