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Finding the Fourth Proportional to 289,576.26, 433,773.09 and 149,039.64

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Solution

The fourth proportional to 289,576.26, 433,773.09 and 149,039.64 is: 223,255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,576.26 : 433,773.09 = 149,039.64 : x
  2. Step 2: Convert to fraction form
    289,576.26/433,773.09 = 149,039.64/x
  3. Step 3: Cross multiply
    289,576.26x = 433,773.09 × 149,039.64
  4. Step 4: Simplify right side
    289,576.26x = 64,649,385,175.29
  5. Step 5: Solve for x
    x = 64,649,385,175.29/289,576.26
  6. Step 6: Final answer
    x = 223,255.13

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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.