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Finding the Fourth Proportional to 299,439.09, 448,784.82 and 149,722.19

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Solution

The fourth proportional to 299,439.09, 448,784.82 and 149,722.19 is: 224,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,439.09 : 448,784.82 = 149,722.19 : x
  2. Step 2: Convert to fraction form
    299,439.09/448,784.82 = 149,722.19/x
  3. Step 3: Cross multiply
    299,439.09x = 448,784.82 × 149,722.19
  4. Step 4: Simplify right side
    299,439.09x = 67,193,046,089.16
  5. Step 5: Solve for x
    x = 67,193,046,089.16/299,439.09
  6. Step 6: Final answer
    x = 224,396.37

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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.