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Finding the Fourth Proportional to 419,742.20, 629,613.30 and 354,788.30

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Solution

The fourth proportional to 419,742.20, 629,613.30 and 354,788.30 is: 532,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,742.20 : 629,613.30 = 354,788.30 : x
  2. Step 2: Convert to fraction form
    419,742.20/629,613.30 = 354,788.30/x
  3. Step 3: Cross multiply
    419,742.20x = 629,613.30 × 354,788.30
  4. Step 4: Simplify right side
    419,742.20x = 223,379,432,364.39
  5. Step 5: Solve for x
    x = 223,379,432,364.39/419,742.20
  6. Step 6: Final answer
    x = 532,182.45

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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.