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Finding the Fourth Proportional to 649,559.40, 973,820.70 and 275,274.60

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Solution

The fourth proportional to 649,559.40, 973,820.70 and 275,274.60 is: 412,692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,559.40 : 973,820.70 = 275,274.60 : x
  2. Step 2: Convert to fraction form
    649,559.40/973,820.70 = 275,274.60/x
  3. Step 3: Cross multiply
    649,559.40x = 973,820.70 × 275,274.60
  4. Step 4: Simplify right side
    649,559.40x = 268,068,103,664.22
  5. Step 5: Solve for x
    x = 268,068,103,664.22/649,559.40
  6. Step 6: Final answer
    x = 412,692.21

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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.