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Finding the Fourth Proportional to 408,078.60, 611,899.20 and 171,153.60

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Solution

The fourth proportional to 408,078.60, 611,899.20 and 171,153.60 is: 256,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,078.60 : 611,899.20 = 171,153.60 : x
  2. Step 2: Convert to fraction form
    408,078.60/611,899.20 = 171,153.60/x
  3. Step 3: Cross multiply
    408,078.60x = 611,899.20 × 171,153.60
  4. Step 4: Simplify right side
    408,078.60x = 104,728,750,917.12
  5. Step 5: Solve for x
    x = 104,728,750,917.12/408,078.60
  6. Step 6: Final answer
    x = 256,638.67

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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.