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Finding the Fourth Proportional to 667,280.94, 920,848.17 and 361,359.72

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Solution

The fourth proportional to 667,280.94, 920,848.17 and 361,359.72 is: 498,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,280.94 : 920,848.17 = 361,359.72 : x
  2. Step 2: Convert to fraction form
    667,280.94/920,848.17 = 361,359.72/x
  3. Step 3: Cross multiply
    667,280.94x = 920,848.17 × 361,359.72
  4. Step 4: Simplify right side
    667,280.94x = 332,757,436,873.71
  5. Step 5: Solve for x
    x = 332,757,436,873.71/667,280.94
  6. Step 6: Final answer
    x = 498,676.67

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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.