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Finding the Fourth Proportional to 328,744.20, 493,577.10 and 204,328.20

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Solution

The fourth proportional to 328,744.20, 493,577.10 and 204,328.20 is: 306,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,744.20 : 493,577.10 = 204,328.20 : x
  2. Step 2: Convert to fraction form
    328,744.20/493,577.10 = 204,328.20/x
  3. Step 3: Cross multiply
    328,744.20x = 493,577.10 × 204,328.20
  4. Step 4: Simplify right side
    328,744.20x = 100,851,720,404.22
  5. Step 5: Solve for x
    x = 100,851,720,404.22/328,744.20
  6. Step 6: Final answer
    x = 306,778.71

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1.5x scale

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.