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Finding the Fourth Proportional to 354,302, 488,956.20 and 203,408.72

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Solution

The fourth proportional to 354,302, 488,956.20 and 203,408.72 is: 280,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,302 : 488,956.20 = 203,408.72 : x
  2. Step 2: Convert to fraction form
    354,302/488,956.20 = 203,408.72/x
  3. Step 3: Cross multiply
    354,302x = 488,956.20 × 203,408.72
  4. Step 4: Simplify right side
    354,302x = 99,457,954,778.06
  5. Step 5: Solve for x
    x = 99,457,954,778.06/354,302
  6. Step 6: Final answer
    x = 280,715.19

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Why These Related Problems?

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