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Finding the Fourth Proportional to 289,134.60, 433,701.90 and 194,656.20

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Solution

The fourth proportional to 289,134.60, 433,701.90 and 194,656.20 is: 291,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,134.60 : 433,701.90 = 194,656.20 : x
  2. Step 2: Convert to fraction form
    289,134.60/433,701.90 = 194,656.20/x
  3. Step 3: Cross multiply
    289,134.60x = 433,701.90 × 194,656.20
  4. Step 4: Simplify right side
    289,134.60x = 84,422,763,786.78
  5. Step 5: Solve for x
    x = 84,422,763,786.78/289,134.60
  6. Step 6: Final answer
    x = 291,984.30

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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.