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Finding the Fourth Proportional to 289,016.40, 433,524.60 and 266,206.80

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Solution

The fourth proportional to 289,016.40, 433,524.60 and 266,206.80 is: 399,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,016.40 : 433,524.60 = 266,206.80 : x
  2. Step 2: Convert to fraction form
    289,016.40/433,524.60 = 266,206.80/x
  3. Step 3: Cross multiply
    289,016.40x = 433,524.60 × 266,206.80
  4. Step 4: Simplify right side
    289,016.40x = 115,407,196,487.28
  5. Step 5: Solve for x
    x = 115,407,196,487.28/289,016.40
  6. Step 6: Final answer
    x = 399,310.20

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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.