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Finding the Fourth Proportional to 451,631.76, 677,447.94 and 114,697.68

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Solution

The fourth proportional to 451,631.76, 677,447.94 and 114,697.68 is: 172,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,631.76 : 677,447.94 = 114,697.68 : x
  2. Step 2: Convert to fraction form
    451,631.76/677,447.94 = 114,697.68/x
  3. Step 3: Cross multiply
    451,631.76x = 677,447.94 × 114,697.68
  4. Step 4: Simplify right side
    451,631.76x = 77,701,707,038.78
  5. Step 5: Solve for x
    x = 77,701,707,038.78/451,631.76
  6. Step 6: Final answer
    x = 172,046.60

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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.