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Finding the Fourth Proportional to 407,404.20, 611,279.10 and 196,933.80

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Solution

The fourth proportional to 407,404.20, 611,279.10 and 196,933.80 is: 295,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,404.20 : 611,279.10 = 196,933.80 : x
  2. Step 2: Convert to fraction form
    407,404.20/611,279.10 = 196,933.80/x
  3. Step 3: Cross multiply
    407,404.20x = 611,279.10 × 196,933.80
  4. Step 4: Simplify right side
    407,404.20x = 120,381,516,023.58
  5. Step 5: Solve for x
    x = 120,381,516,023.58/407,404.20
  6. Step 6: Final answer
    x = 295,484.23

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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.