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Finding the Fourth Proportional to 299,031.20, 448,546.80 and 188,439.20

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Solution

The fourth proportional to 299,031.20, 448,546.80 and 188,439.20 is: 282,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,031.20 : 448,546.80 = 188,439.20 : x
  2. Step 2: Convert to fraction form
    299,031.20/448,546.80 = 188,439.20/x
  3. Step 3: Cross multiply
    299,031.20x = 448,546.80 × 188,439.20
  4. Step 4: Simplify right side
    299,031.20x = 84,523,800,154.56
  5. Step 5: Solve for x
    x = 84,523,800,154.56/299,031.20
  6. Step 6: Final answer
    x = 282,658.80

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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.