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Finding the Fourth Proportional to 413,401.20, 620,101.80 and 406,402.80

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Solution

The fourth proportional to 413,401.20, 620,101.80 and 406,402.80 is: 609,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,401.20 : 620,101.80 = 406,402.80 : x
  2. Step 2: Convert to fraction form
    413,401.20/620,101.80 = 406,402.80/x
  3. Step 3: Cross multiply
    413,401.20x = 620,101.80 × 406,402.80
  4. Step 4: Simplify right side
    413,401.20x = 252,011,107,805.04
  5. Step 5: Solve for x
    x = 252,011,107,805.04/413,401.20
  6. Step 6: Final answer
    x = 609,604.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.