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Finding the Fourth Proportional to 462,640.72, 693,965.88 and 163,065.48

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Solution

The fourth proportional to 462,640.72, 693,965.88 and 163,065.48 is: 244,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,640.72 : 693,965.88 = 163,065.48 : x
  2. Step 2: Convert to fraction form
    462,640.72/693,965.88 = 163,065.48/x
  3. Step 3: Cross multiply
    462,640.72x = 693,965.88 × 163,065.48
  4. Step 4: Simplify right side
    462,640.72x = 113,161,879,325.82
  5. Step 5: Solve for x
    x = 113,161,879,325.82/462,640.72
  6. Step 6: Final answer
    x = 244,599.91

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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.