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Finding the Fourth Proportional to 289,119.20, 433,095.60 and 194,640.80

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Solution

The fourth proportional to 289,119.20, 433,095.60 and 194,640.80 is: 291,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,119.20 : 433,095.60 = 194,640.80 : x
  2. Step 2: Convert to fraction form
    289,119.20/433,095.60 = 194,640.80/x
  3. Step 3: Cross multiply
    289,119.20x = 433,095.60 × 194,640.80
  4. Step 4: Simplify right side
    289,119.20x = 84,298,074,060.48
  5. Step 5: Solve for x
    x = 84,298,074,060.48/289,119.20
  6. Step 6: Final answer
    x = 291,568.58

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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.