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Finding the Fourth Proportional to 462,644.72, 693,971.88 and 163,069.48

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Solution

The fourth proportional to 462,644.72, 693,971.88 and 163,069.48 is: 244,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,644.72 : 693,971.88 = 163,069.48 : x
  2. Step 2: Convert to fraction form
    462,644.72/693,971.88 = 163,069.48/x
  3. Step 3: Cross multiply
    462,644.72x = 693,971.88 × 163,069.48
  4. Step 4: Simplify right side
    462,644.72x = 113,165,633,606.22
  5. Step 5: Solve for x
    x = 113,165,633,606.22/462,644.72
  6. Step 6: Final answer
    x = 244,605.91

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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.