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Finding the Fourth Proportional to 363,857.02, 543,227.16 and 278,018.63

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Solution

The fourth proportional to 363,857.02, 543,227.16 and 278,018.63 is: 415,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,857.02 : 543,227.16 = 278,018.63 : x
  2. Step 2: Convert to fraction form
    363,857.02/543,227.16 = 278,018.63/x
  3. Step 3: Cross multiply
    363,857.02x = 543,227.16 × 278,018.63
  4. Step 4: Simplify right side
    363,857.02x = 151,027,273,711.90
  5. Step 5: Solve for x
    x = 151,027,273,711.90/363,857.02
  6. Step 6: Final answer
    x = 415,073.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.