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Finding the Fourth Proportional to 512,822.61, 769,459.10 and 272,879.96

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Solution

The fourth proportional to 512,822.61, 769,459.10 and 272,879.96 is: 409,439.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,822.61 : 769,459.10 = 272,879.96 : x
  2. Step 2: Convert to fraction form
    512,822.61/769,459.10 = 272,879.96/x
  3. Step 3: Cross multiply
    512,822.61x = 769,459.10 × 272,879.96
  4. Step 4: Simplify right side
    512,822.61x = 209,969,963,217.94
  5. Step 5: Solve for x
    x = 209,969,963,217.94/512,822.61
  6. Step 6: Final answer
    x = 409,439.75

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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.