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Finding the Fourth Proportional to 543,953, 816,016.92 and 228,500.12

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Solution

The fourth proportional to 543,953, 816,016.92 and 228,500.12 is: 342,786.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,953 : 816,016.92 = 228,500.12 : x
  2. Step 2: Convert to fraction form
    543,953/816,016.92 = 228,500.12/x
  3. Step 3: Cross multiply
    543,953x = 816,016.92 × 228,500.12
  4. Step 4: Simplify right side
    543,953x = 186,459,964,142.03
  5. Step 5: Solve for x
    x = 186,459,964,142.03/543,953
  6. Step 6: Final answer
    x = 342,786.90

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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.