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Finding the Fourth Proportional to 354,229.98, 488,834.46 and 193,082.10

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Solution

The fourth proportional to 354,229.98, 488,834.46 and 193,082.10 is: 266,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,229.98 : 488,834.46 = 193,082.10 : x
  2. Step 2: Convert to fraction form
    354,229.98/488,834.46 = 193,082.10/x
  3. Step 3: Cross multiply
    354,229.98x = 488,834.46 × 193,082.10
  4. Step 4: Simplify right side
    354,229.98x = 94,385,184,089.17
  5. Step 5: Solve for x
    x = 94,385,184,089.17/354,229.98
  6. Step 6: Final answer
    x = 266,451.71

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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.