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Finding the Fourth Proportional to 512,164.40, 768,246.60 and 406,410.80

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Solution

The fourth proportional to 512,164.40, 768,246.60 and 406,410.80 is: 609,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,164.40 : 768,246.60 = 406,410.80 : x
  2. Step 2: Convert to fraction form
    512,164.40/768,246.60 = 406,410.80/x
  3. Step 3: Cross multiply
    512,164.40x = 768,246.60 × 406,410.80
  4. Step 4: Simplify right side
    512,164.40x = 312,223,715,303.28
  5. Step 5: Solve for x
    x = 312,223,715,303.28/512,164.40
  6. Step 6: Final answer
    x = 609,616.20

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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.