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Finding the Fourth Proportional to 433,758.70, 649,690.44 and 180,270.64

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Solution

The fourth proportional to 433,758.70, 649,690.44 and 180,270.64 is: 270,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,758.70 : 649,690.44 = 180,270.64 : x
  2. Step 2: Convert to fraction form
    433,758.70/649,690.44 = 180,270.64/x
  3. Step 3: Cross multiply
    433,758.70x = 649,690.44 × 180,270.64
  4. Step 4: Simplify right side
    433,758.70x = 117,120,111,420.68
  5. Step 5: Solve for x
    x = 117,120,111,420.68/433,758.70
  6. Step 6: Final answer
    x = 270,012.13

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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.