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Finding the Fourth Proportional to 284,843.20, 427,329.60 and 166,453.60

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Solution

The fourth proportional to 284,843.20, 427,329.60 and 166,453.60 is: 249,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,843.20 : 427,329.60 = 166,453.60 : x
  2. Step 2: Convert to fraction form
    284,843.20/427,329.60 = 166,453.60/x
  3. Step 3: Cross multiply
    284,843.20x = 427,329.60 × 166,453.60
  4. Step 4: Simplify right side
    284,843.20x = 71,130,550,306.56
  5. Step 5: Solve for x
    x = 71,130,550,306.56/284,843.20
  6. Step 6: Final answer
    x = 249,718.27

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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.