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Finding the Fourth Proportional to 298,633.66, 447,681.56 and 108,961.64

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Solution

The fourth proportional to 298,633.66, 447,681.56 and 108,961.64 is: 163,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,633.66 : 447,681.56 = 108,961.64 : x
  2. Step 2: Convert to fraction form
    298,633.66/447,681.56 = 108,961.64/x
  3. Step 3: Cross multiply
    298,633.66x = 447,681.56 × 108,961.64
  4. Step 4: Simplify right side
    298,633.66x = 48,780,116,975.36
  5. Step 5: Solve for x
    x = 48,780,116,975.36/298,633.66
  6. Step 6: Final answer
    x = 163,344.34

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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.