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Finding the Fourth Proportional to 686,139.80, 946,872.99 and 384,333.80

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Solution

The fourth proportional to 686,139.80, 946,872.99 and 384,333.80 is: 530,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,139.80 : 946,872.99 = 384,333.80 : x
  2. Step 2: Convert to fraction form
    686,139.80/946,872.99 = 384,333.80/x
  3. Step 3: Cross multiply
    686,139.80x = 946,872.99 × 384,333.80
  4. Step 4: Simplify right side
    686,139.80x = 363,915,289,629.70
  5. Step 5: Solve for x
    x = 363,915,289,629.70/686,139.80
  6. Step 6: Final answer
    x = 530,380.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.