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Finding the Fourth Proportional to 406,433.70, 609,996.15 and 182,139.30

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Solution

The fourth proportional to 406,433.70, 609,996.15 and 182,139.30 is: 273,363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,433.70 : 609,996.15 = 182,139.30 : x
  2. Step 2: Convert to fraction form
    406,433.70/609,996.15 = 182,139.30/x
  3. Step 3: Cross multiply
    406,433.70x = 609,996.15 × 182,139.30
  4. Step 4: Simplify right side
    406,433.70x = 111,104,271,763.70
  5. Step 5: Solve for x
    x = 111,104,271,763.70/406,433.70
  6. Step 6: Final answer
    x = 273,363.83

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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.