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Finding the Fourth Proportional to 493,103.83, 739,890.02 and 341,534.17

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Solution

The fourth proportional to 493,103.83, 739,890.02 and 341,534.17 is: 512,463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,103.83 : 739,890.02 = 341,534.17 : x
  2. Step 2: Convert to fraction form
    493,103.83/739,890.02 = 341,534.17/x
  3. Step 3: Cross multiply
    493,103.83x = 739,890.02 × 341,534.17
  4. Step 4: Simplify right side
    493,103.83x = 252,697,718,464.86
  5. Step 5: Solve for x
    x = 252,697,718,464.86/493,103.83
  6. Step 6: Final answer
    x = 512,463.51

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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.