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Finding the Fourth Proportional to 301,846.14, 452,419.26 and 284,350.14

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Solution

The fourth proportional to 301,846.14, 452,419.26 and 284,350.14 is: 426,195.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,846.14 : 452,419.26 = 284,350.14 : x
  2. Step 2: Convert to fraction form
    301,846.14/452,419.26 = 284,350.14/x
  3. Step 3: Cross multiply
    301,846.14x = 452,419.26 × 284,350.14
  4. Step 4: Simplify right side
    301,846.14x = 128,645,479,919.70
  5. Step 5: Solve for x
    x = 128,645,479,919.70/301,846.14
  6. Step 6: Final answer
    x = 426,195.54

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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.