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Finding the Fourth Proportional to 543,877.64, 815,732.10 and 277,834.76

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Solution

The fourth proportional to 543,877.64, 815,732.10 and 277,834.76 is: 416,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,877.64 : 815,732.10 = 277,834.76 : x
  2. Step 2: Convert to fraction form
    543,877.64/815,732.10 = 277,834.76/x
  3. Step 3: Cross multiply
    543,877.64x = 815,732.10 × 277,834.76
  4. Step 4: Simplify right side
    543,877.64x = 226,638,732,227.80
  5. Step 5: Solve for x
    x = 226,638,732,227.80/543,877.64
  6. Step 6: Final answer
    x = 416,709.05

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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.