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Finding the Fourth Proportional to 273,175.80, 409,763.70 and 223,312.20

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Solution

The fourth proportional to 273,175.80, 409,763.70 and 223,312.20 is: 334,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,175.80 : 409,763.70 = 223,312.20 : x
  2. Step 2: Convert to fraction form
    273,175.80/409,763.70 = 223,312.20/x
  3. Step 3: Cross multiply
    273,175.80x = 409,763.70 × 223,312.20
  4. Step 4: Simplify right side
    273,175.80x = 91,505,233,327.14
  5. Step 5: Solve for x
    x = 91,505,233,327.14/273,175.80
  6. Step 6: Final answer
    x = 334,968.30

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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.