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Finding the Fourth Proportional to 289,418.80, 434,128.20 and 171,223.60

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Solution

The fourth proportional to 289,418.80, 434,128.20 and 171,223.60 is: 256,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,418.80 : 434,128.20 = 171,223.60 : x
  2. Step 2: Convert to fraction form
    289,418.80/434,128.20 = 171,223.60/x
  3. Step 3: Cross multiply
    289,418.80x = 434,128.20 × 171,223.60
  4. Step 4: Simplify right side
    289,418.80x = 74,332,993,265.52
  5. Step 5: Solve for x
    x = 74,332,993,265.52/289,418.80
  6. Step 6: Final answer
    x = 256,835.40

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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.