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Finding the Fourth Proportional to 409,914.14, 610,796.30 and 365,197.30

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Solution

The fourth proportional to 409,914.14, 610,796.30 and 365,197.30 is: 544,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,914.14 : 610,796.30 = 365,197.30 : x
  2. Step 2: Convert to fraction form
    409,914.14/610,796.30 = 365,197.30/x
  3. Step 3: Cross multiply
    409,914.14x = 610,796.30 × 365,197.30
  4. Step 4: Simplify right side
    409,914.14x = 223,061,159,609.99
  5. Step 5: Solve for x
    x = 223,061,159,609.99/409,914.14
  6. Step 6: Final answer
    x = 544,165.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.