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Finding the Fourth Proportional to 512,416.60, 768,624.90 and 475,091.80

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Solution

The fourth proportional to 512,416.60, 768,624.90 and 475,091.80 is: 712,637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,416.60 : 768,624.90 = 475,091.80 : x
  2. Step 2: Convert to fraction form
    512,416.60/768,624.90 = 475,091.80/x
  3. Step 3: Cross multiply
    512,416.60x = 768,624.90 × 475,091.80
  4. Step 4: Simplify right side
    512,416.60x = 365,167,387,265.82
  5. Step 5: Solve for x
    x = 365,167,387,265.82/512,416.60
  6. Step 6: Final answer
    x = 712,637.70

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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.