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Finding the Fourth Proportional to 512,166.40, 768,249.60 and 406,412.80

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Solution

The fourth proportional to 512,166.40, 768,249.60 and 406,412.80 is: 609,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,166.40 : 768,249.60 = 406,412.80 : x
  2. Step 2: Convert to fraction form
    512,166.40/768,249.60 = 406,412.80/x
  3. Step 3: Cross multiply
    512,166.40x = 768,249.60 × 406,412.80
  4. Step 4: Simplify right side
    512,166.40x = 312,226,471,034.88
  5. Step 5: Solve for x
    x = 312,226,471,034.88/512,166.40
  6. Step 6: Final answer
    x = 609,619.20

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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.