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Finding the Fourth Proportional to 289,213.60, 433,820.40 and 194,735.20

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Solution

The fourth proportional to 289,213.60, 433,820.40 and 194,735.20 is: 292,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,213.60 : 433,820.40 = 194,735.20 : x
  2. Step 2: Convert to fraction form
    289,213.60/433,820.40 = 194,735.20/x
  3. Step 3: Cross multiply
    289,213.60x = 433,820.40 × 194,735.20
  4. Step 4: Simplify right side
    289,213.60x = 84,480,102,358.08
  5. Step 5: Solve for x
    x = 84,480,102,358.08/289,213.60
  6. Step 6: Final answer
    x = 292,102.80

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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.