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Finding the Fourth Proportional to 298,338.98, 447,464.02 and 98,660.41

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Solution

The fourth proportional to 298,338.98, 447,464.02 and 98,660.41 is: 147,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,338.98 : 447,464.02 = 98,660.41 : x
  2. Step 2: Convert to fraction form
    298,338.98/447,464.02 = 98,660.41/x
  3. Step 3: Cross multiply
    298,338.98x = 447,464.02 × 98,660.41
  4. Step 4: Simplify right side
    298,338.98x = 44,146,983,673.45
  5. Step 5: Solve for x
    x = 44,146,983,673.45/298,338.98
  6. Step 6: Final answer
    x = 147,975.92

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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.