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Finding the Fourth Proportional to 512,186.40, 768,279.60 and 406,432.80

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Solution

The fourth proportional to 512,186.40, 768,279.60 and 406,432.80 is: 609,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,186.40 : 768,279.60 = 406,432.80 : x
  2. Step 2: Convert to fraction form
    512,186.40/768,279.60 = 406,432.80/x
  3. Step 3: Cross multiply
    512,186.40x = 768,279.60 × 406,432.80
  4. Step 4: Simplify right side
    512,186.40x = 312,254,029,010.88
  5. Step 5: Solve for x
    x = 312,254,029,010.88/512,186.40
  6. Step 6: Final answer
    x = 609,649.20

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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.