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Finding the Fourth Proportional to 451,701, 677,590.74 and 119,277

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Solution

The fourth proportional to 451,701, 677,590.74 and 119,277 is: 178,925.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,701 : 677,590.74 = 119,277 : x
  2. Step 2: Convert to fraction form
    451,701/677,590.74 = 119,277/x
  3. Step 3: Cross multiply
    451,701x = 677,590.74 × 119,277
  4. Step 4: Simplify right side
    451,701x = 80,820,990,694.98
  5. Step 5: Solve for x
    x = 80,820,990,694.98/451,701
  6. Step 6: Final answer
    x = 178,925.86

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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.