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Finding the Fourth Proportional to 313,529.80, 470,100.30 and 180,344.20

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Solution

The fourth proportional to 313,529.80, 470,100.30 and 180,344.20 is: 270,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,529.80 : 470,100.30 = 180,344.20 : x
  2. Step 2: Convert to fraction form
    313,529.80/470,100.30 = 180,344.20/x
  3. Step 3: Cross multiply
    313,529.80x = 470,100.30 × 180,344.20
  4. Step 4: Simplify right side
    313,529.80x = 84,779,862,523.26
  5. Step 5: Solve for x
    x = 84,779,862,523.26/313,529.80
  6. Step 6: Final answer
    x = 270,404.48

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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.