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Finding the Fourth Proportional to 547,661.16, 821,140.22 and 228,034.44

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Solution

The fourth proportional to 547,661.16, 821,140.22 and 228,034.44 is: 341,905.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,661.16 : 821,140.22 = 228,034.44 : x
  2. Step 2: Convert to fraction form
    547,661.16/821,140.22 = 228,034.44/x
  3. Step 3: Cross multiply
    547,661.16x = 821,140.22 × 228,034.44
  4. Step 4: Simplify right side
    547,661.16x = 187,248,250,229.18
  5. Step 5: Solve for x
    x = 187,248,250,229.18/547,661.16
  6. Step 6: Final answer
    x = 341,905.29

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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.