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Finding the Fourth Proportional to 512,117.20, 768,406.20 and 179,931.60

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Solution

The fourth proportional to 512,117.20, 768,406.20 and 179,931.60 is: 269,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,117.20 : 768,406.20 = 179,931.60 : x
  2. Step 2: Convert to fraction form
    512,117.20/768,406.20 = 179,931.60/x
  3. Step 3: Cross multiply
    512,117.20x = 768,406.20 × 179,931.60
  4. Step 4: Simplify right side
    512,117.20x = 138,260,557,015.92
  5. Step 5: Solve for x
    x = 138,260,557,015.92/512,117.20
  6. Step 6: Final answer
    x = 269,978.35

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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.