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Finding the Fourth Proportional to 365,523.27, 547,865.05 and 228,807.78

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Solution

The fourth proportional to 365,523.27, 547,865.05 and 228,807.78 is: 342,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,523.27 : 547,865.05 = 228,807.78 : x
  2. Step 2: Convert to fraction form
    365,523.27/547,865.05 = 228,807.78/x
  3. Step 3: Cross multiply
    365,523.27x = 547,865.05 × 228,807.78
  4. Step 4: Simplify right side
    365,523.27x = 125,355,785,830.09
  5. Step 5: Solve for x
    x = 125,355,785,830.09/365,523.27
  6. Step 6: Final answer
    x = 342,948.85

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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.