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Finding the Fourth Proportional to 273,421.80, 410,132.70 and 230,119.20

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Solution

The fourth proportional to 273,421.80, 410,132.70 and 230,119.20 is: 345,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,421.80 : 410,132.70 = 230,119.20 : x
  2. Step 2: Convert to fraction form
    273,421.80/410,132.70 = 230,119.20/x
  3. Step 3: Cross multiply
    273,421.80x = 410,132.70 × 230,119.20
  4. Step 4: Simplify right side
    273,421.80x = 94,379,408,817.84
  5. Step 5: Solve for x
    x = 94,379,408,817.84/273,421.80
  6. Step 6: Final answer
    x = 345,178.80

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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.