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Finding the Fourth Proportional to 347,018.87, 478,887.32 and 201,859.49

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Solution

The fourth proportional to 347,018.87, 478,887.32 and 201,859.49 is: 278,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,018.87 : 478,887.32 = 201,859.49 : x
  2. Step 2: Convert to fraction form
    347,018.87/478,887.32 = 201,859.49/x
  3. Step 3: Cross multiply
    347,018.87x = 478,887.32 × 201,859.49
  4. Step 4: Simplify right side
    347,018.87x = 96,667,948,292.88
  5. Step 5: Solve for x
    x = 96,667,948,292.88/347,018.87
  6. Step 6: Final answer
    x = 278,566.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.