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Finding the Fourth Proportional to 662,713, 994,069.52 and 164,077

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Solution

The fourth proportional to 662,713, 994,069.52 and 164,077 is: 246,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,713 : 994,069.52 = 164,077 : x
  2. Step 2: Convert to fraction form
    662,713/994,069.52 = 164,077/x
  3. Step 3: Cross multiply
    662,713x = 994,069.52 × 164,077
  4. Step 4: Simplify right side
    662,713x = 163,103,944,633.04
  5. Step 5: Solve for x
    x = 163,103,944,633.04/662,713
  6. Step 6: Final answer
    x = 246,115.50

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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.