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Finding the Fourth Proportional to 273,412.80, 410,119.20 and 223,549.20

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Solution

The fourth proportional to 273,412.80, 410,119.20 and 223,549.20 is: 335,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,412.80 : 410,119.20 = 223,549.20 : x
  2. Step 2: Convert to fraction form
    273,412.80/410,119.20 = 223,549.20/x
  3. Step 3: Cross multiply
    273,412.80x = 410,119.20 × 223,549.20
  4. Step 4: Simplify right side
    273,412.80x = 91,681,819,064.64
  5. Step 5: Solve for x
    x = 91,681,819,064.64/273,412.80
  6. Step 6: Final answer
    x = 335,323.80

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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.