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Finding the Fourth Proportional to 289,388.20, 433,499.10 and 194,909.80

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Solution

The fourth proportional to 289,388.20, 433,499.10 and 194,909.80 is: 291,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,388.20 : 433,499.10 = 194,909.80 : x
  2. Step 2: Convert to fraction form
    289,388.20/433,499.10 = 194,909.80/x
  3. Step 3: Cross multiply
    289,388.20x = 433,499.10 × 194,909.80
  4. Step 4: Simplify right side
    289,388.20x = 84,493,222,881.18
  5. Step 5: Solve for x
    x = 84,493,222,881.18/289,388.20
  6. Step 6: Final answer
    x = 291,971.90

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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.