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Finding the Fourth Proportional to 663,274.50, 994,918.26 and 164,638.50

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Solution

The fourth proportional to 663,274.50, 994,918.26 and 164,638.50 is: 246,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,274.50 : 994,918.26 = 164,638.50 : x
  2. Step 2: Convert to fraction form
    663,274.50/994,918.26 = 164,638.50/x
  3. Step 3: Cross multiply
    663,274.50x = 994,918.26 × 164,638.50
  4. Step 4: Simplify right side
    663,274.50x = 163,801,849,949.01
  5. Step 5: Solve for x
    x = 163,801,849,949.01/663,274.50
  6. Step 6: Final answer
    x = 246,959.37

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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.