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Finding the Fourth Proportional to 289,783.40, 434,891.10 and 149,469.80

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Solution

The fourth proportional to 289,783.40, 434,891.10 and 149,469.80 is: 224,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,783.40 : 434,891.10 = 149,469.80 : x
  2. Step 2: Convert to fraction form
    289,783.40/434,891.10 = 149,469.80/x
  3. Step 3: Cross multiply
    289,783.40x = 434,891.10 × 149,469.80
  4. Step 4: Simplify right side
    289,783.40x = 65,003,085,738.78
  5. Step 5: Solve for x
    x = 65,003,085,738.78/289,783.40
  6. Step 6: Final answer
    x = 224,316.11

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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.